We want to complete the steps to convert the given quadratic equation into vertex form.
Eventually we will get:
y = (x + 1)^2 - 2
Vertex form of a quadratic equation.
For a quadratic equation with the vertex (h, k), the vertex form is:
y = a*(x - h)^2 + k
Here we start with:
y = x^2 + 2x - 1
1) First, we complete the perfect-square trinomial, we need to add and subtract 1 to get that:
y = x^2 + 2x - 1 + 1 - 1
2) Now we rewrite the equation to be able of completing squares:
y = (x^2 + 2x + 1) - 1 - 1
y = (x^2 + 2x + 1) - 2
3) Now we complete squares
y = (x + 1)^2 - 2
And this is the equation in vertex form, where you can see that the vertex is the point (-1, - 2)
If you want to learn more about quadratic equations, you can read:
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2. At Burger World, you can buy a party platter of 25 burgers for $75. What
is the unit rate price of one hamburger?
Find the midpoint of the segment ending in the points 0,9 and 5,1
Trenton’s scouting group made 100 T-shirts for a charity fundraiser. The circle graph below compares how many of each different colored T-shirt they made.
Answer:
please tag the the pic if question
Image
Step-by-step explanation:
For anyone that needs the image for the problem, I have the same question so please help solve ty
8r+15 • factoring expressions
Answer:
The expression is not factorable with rational numbers
Step-by-step explanation:
Holiday Rent a Car rents a compact car for $24.95 per day plus $0.23
per mile. Cargo Rent a Car rents a compact car for $ 22.95 per day
plus $0.31 per mile. Write a system of equations and solve it to find out
what daily mileage gives the same rental charge for both cars.
Answer:
a Car rents a compact car for $24.95 per day plus $0.23 per mile. Cargo Rent a Car rents a compact car for $ 22.95 per day plus $0.31
Step-by-step explanation:
because its plus
25 miles
Step-by-step explanation:
Write as a unit rate: 66 miles to 3 gallons *
Answer: 22 miles per gallon
Step-by-step explanation: 66/3 = 22.
Answer:
22 miles per gallon
Step-by-step explanation:
66/3=22
The electric usage for a computer repair company was charted over four months. What is the rate of change for the bill during that time? KWH used Billing 578 $109.82 1,033 $196.27 1,475 $280.25 1,754 $333.26 A. $0.56 per KWH B. $1.79 per KWH C. $0.19 per KWH
Answer:
The correct option is;
C. $0.19 per KWH
Step-by-step explanation:
The given data are;
KWH [tex]{}[/tex] Billing
578 [tex]{}[/tex] $109.82
1,033 [tex]{}[/tex] $196.27
1,475 [tex]{}[/tex] $280.25
1,754 [tex]{}[/tex] $333.26
Therefore, we have the rate of change, m, given as follows;
m =(Change in the amount paid)/(Change in the electric usage in the same period)
For the first and second month, the rate of change is therefore;
m = ($196.27 - $109.82)/(1,033 - 578) = $0.19 per kWH
Between the first and third month, the rate of change is given as follows;
m = ($280.25 - $109.82)/(1,475 - 578) = $0.19 per kWH
Between the first and fourth month, the rate of change is given as follows;
m = ($333.26 - $109.82)/(1,754 - 578) = $0.19 per kWH
Therefore;
The rate of change is constant and is $0.19 per kWH
A triangle is drawn on the coordinate plane. It is translated 4 units right and 3 units down. Which rule describes the translation?
Answer:
(x,y)>(x+4,y-3)
Step-by-step explanation:
set up is (x,y)>(x+a,y+b)
a=left and right
b=up and down
positive= left or up
negative= right or down
identify the x and y intercepts on the chart pictured
Y intercept = -2
There is no X intercept as it is an asymptote
if (x+4)*2=49 and x<0, what is the value of x
Answer:
41 is the answer bro thanks
Solve y=4x+rx+6 for x
Answer:
x = ( y − 6 ) / ( 4 + r )
Step-by-step explanation:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
x = ( y − 6 ) / ( 4 + r )
If y = 12 when x = –15, find y when x = 2.
Answer:
29
Step-by-step explanation:
First make an equation that shows the relationship between x and y by finding what you need to do to x to get y:
-15 + ? = 12
? = 27
so the equation is : y = x + 27
now just plug in 2 for x:
y = 2 + 27
y + 29
I need help on this math question first one to answer gets brainiest
Answer:
D is correct
Step-by-step explanation:
Suppose quadrilateral ABCD has been transformed by ry=x. What are the coordinates for the vertices of the reflected quadrilateral A’B’C’D’?
Answer: A’ = (0, -4)
B’ = (-2, -5)
C’ = (-4, -4)
D’ = (-2, -1)
Step-by-step explanation:
just did the assignment on edge
1. One more than three times a number is 7,
in number equations
Answer:
The answer is 2
Step-by-step explanation:
2x3=6 +1 =7
Answer:
answer is : 2
Step-by-step explanation:
2x3=6+1=7
Calculate the average rate of change of the function y=2x+5 over the interval 0 to 3.
Answer:
3
Step-by-step explanation:
I have no idea I just need points!! :)))))
one of the factors of 2d2 + 5d - 12 is d + 4 ,which of the following the other factor?
Answer:
2d-3
Step-by-step explanation:
it may help you to understand
Use a calculator to find the approximate value of the expression. Round the answer to two decimal places.
The cosine of the complimentary angle to 38°
a. 0.68
b. -0.16
C. -0.22
d. 0.62
Answer:
The cosine of the complementary angle to 38° is 0.62. Answer: d
Explanation:
Complementary Angle
Two angles x and y are complementary if
x+y=90°
The complementary angle of 38° is 90°-38°= 52°
Now use a calculator to find the approximate value of
[tex]\cos 52^\circ \approx 0.61566[/tex]
Rounding to two decimal places:
[tex]\cos 52^\circ \approx 0.62[/tex]
a. Incorrect. The cosine of 52° is not 0.68
b. Incorrect. The cosine of 52° is not -0.16
c. Incorrect. The cosine of 52° is not -0.22
d. Correct. The cosine of 52° is 0.62 to two decimal places.
please helpppppppppp
Answer:
wrdfrdfrDFDFDFzfsdfffq
Step-by-step explanation:
dfdfgdf d f df
This is my question
Answer:
week 4 had the greatest weight change
Right triangle XYZ is drawn on a coordinate plane
Which of the following is closest to the perimeter of XYZ?
Use a calculator to graph the functions y = –3|x – 2| and y = x3 – 3x – 3. How many points of intersection do the functions share?
0
1
2
3
They have 3 intersections
Answer:
They have 3 intersection
Step-by-step explanation:
If you graph the functions they would have 3 intersections
what is the rate of change for this imagine
3, -1
Step-by-step explanation:
It goes 3 to the positive side
and one down side
If z = (15 + 8i) ÷ (3 - 4i), then |z| = _____.
2
5
5/17
3 2/5
HELPPP!!! I'LL GIVE BRAINLIEST TO CORRECT ANSWER!!
The units of the subway map below are in miles. Suppose the routes between stations are straight. Station F, not shown on the map, is 12 miles west and 3 miles north of Station A. What is the approximate distance between Station E and Station F?
The distance from Station E to Station F is approximately ___ miles. (Round to the nearest tenth as needed.)
Answer:
8.2 miles
Step-by-step explanation:
a²+b²=c²
-12-(-4)=-8
3-1=2
-8²+2²=68
square root of 68 is 8.24 and rounded to the nearest 10th is 8.2 miles
The pressure of a fixed volume of a certain gas is related to its temperature as shown in the table below.
Temperature of Gas vs. Pressure
Temperature (in degrees Celsius)
Pressure (in pascals)
44
91
52
93
60
95
68
97
76
99
Which type of function best models the data in the table?
O exponential
O logarithmic
O linear
O quadratic
Answer:
c.) linear
Step-by-step explanation:
just took the quiz
The function represented in the table is a linear function given by y = (1/4)x + 80
What is an equation?An equation is an expression that shows the relationship between two or more number and variables.
Let y represent the pressure of the gas at x temperature.
Using the point (44, 91) and (52, 93), hence:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-91=\frac{93-91}{52-44} (x-44)\\\\y=\frac{1}{4} x+80[/tex]
The function represented in the table is a linear function given by y = (1/4)x + 80
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what does -2/7 > -4 indicate about the positions of -2/7 and -4 on the number line?
It means -2/7 is to the right of -4
Numbers on the right are larger than numbers on the left.
left < right
which flips to
right > left
-2/7 is to the right of -4
thats a lil obvious but i wont judge- ;-;
Which statement describes the effect on the parabola f(x)=2x²-5x+3 when its changed to f(x)=2x²-5x+1
Answer:
(B)
Step-by-step explanation:
Ken and Donna are driving from Baltimore, MD to Richmond, VA for a wedding. The total distance they must drive is 131 miles. Since the reception is late, they decided to get a bite to eat along the way. They want the first part of the trip to be 65 miles more than the second part. How many miles will they drive before they stop?
Answer:
The distance they drive before they stop is 98 miles.
Step-by-step explanation:
Since Ken and Donna are supposed to drive a total distance of 131 miles from Baltimore, MD to Richmond, VA for the wedding. If the first part of the journey is supposed to be 65 miles more than the second part. Let the second part be x miles. So, the first part is x + 65 miles
Since the total distance covered is 131 miles,
x + x + 65 = 131
adding the x's, we have
2x + 65 = 131
subtracting 65 from both sides, we have
2x = 131 - 65
2x = 66
dividing both sides by 2, we have
x = 66/2
x = 33 miles.
So, for the first part the distance travelled is x + 65 miles, so, x + 65 = 33 + 65 = 98 miles. So, the distance they drive before they stop is 98 miles.
simplify (2^5/3^2)^4
PLEASE HELP❤️