Guided Practice

The graph of y = 2(x + 1)2 − 4 is a translation 1 unit horizontally and 4 units vertically of the function y = 2x2. Graph this function in your notebook.


Type your answer and then click or tap Done.

The vertex of the parabola is (Fill in the blank text field 1
, Fill in the blank text field 2
( , )

Answer:

Step-by-step explanation:

hmm

The graph of a quadratic function is always a parabola. The vertex of the parabola after transformation is (-1,-4).

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.

The graph of the two functions can be made as shown below. Therefore, the two functions are,

y=2x² → Drawn by the red line

y = 2(x + 1)² − 4 → Drawn by the blue line

Now, the vertex of a quadratic function or a parabola is the point at which the function or the parabola changes its slope, it's either the maximum of the function or the minimum of the function, depending on which side the parabola opens.

Hence, The vertex of the parabola after transformation is (-1,-4).

Learn more about Quadratic Equations here:

https://brainly.com/question/17177510

#SPJ5

Today only, a table is being sold at a 33% discount. The sale price is 201.
What was the price yesterday?

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Measure E is equal to?

Lines r and s are perpendicular and intersect at point k ray kt is drawn forming angles 1 and 2 if angle 1 is 4x-12 and angle 2 equals 3x -8 what is angle 1 to nearest 10th

Nine more than the product of a number and 3 is equal to 6

HELP i need what is 4 divided by 120000 telll me plz in tried the calculator but my parents blocked the calculator on me so plz help me

Un estudiante de Astronomía sabe que Venus le da la vuelta al Sol 225 días y Marte 687 días . Si sabe que la última vez que v s , tierra y Marte se alinearon fue hace 1805645 días , ¿ en cuanto tiempo se volverán a alinear los 3 planetas al mismo punto?

PlEase help you can edit the photo

the probability that a tin of paint is dented is 0.07 out of 3000 tins of paint,how many would you expect to be dented?

A company charges $60 per day plus $0.50 per mile for truck rentals. If Greg rents a truck for 3 days and drives 150 miles, how much will the company charge?

plz help!!!!!!!!!!!!!!!!

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Equations
So I’m having trouble with this pls explain step by step
Here’s the question

W+2=12

Pls explain

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And z = 0.32

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Write an equation for the hangers below and solve (will give brainless if correct!)​

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1. 25.5678
2.0.8974
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Pls no Spam. 35 points is the prize

9.-¿Cuál es el resultado correcto de esta
expresión aritmética: 14 - 8 + 3( -9-6)+ 27 / 9
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What is the answer I’m so stuck on this one

SUBIECTUL I

1. 1p Să se determine primul termen al unei progresii aritmetice (an

)n≥1 știind că rația este

egală cu 5 și suma primilor zece termeni ai progresiei este egală cu 245.
2. 1p Să se determine punctele de intersecție ale graficului funcției
f: R → R, f (x) = x

2 − 7x + 12, cu axele de coordonate.
3. 1p Să se determine numărul real a pentru care vectorii
u⃗ = (a − 2)i + (3a − 1)j și v = 2i +4j sunt coliniari.
4. 1p Să se calculeze ctg x, știind că sin x =
√3
2
, x ∈ (0, 90°
).
5. 1p Să se determine soluțiile reale ale ecuației 49x+2 = 7
x
2+5
.

6. 1p Să se rezolve ecuația : Ax
2+Cx
2 = 0, x∈ N , x≥ 2.

SUBIECTUL II
1 Se consideră matricea A(a) = (

1 0 √a
1 0 1
a 1 1

), unde a ∈ (0, ∞).

a) 0.5p Arătați că det(A(4)) = 1.
b) 0.5p Demonstrați că det(A(a) ∙ A(1) − A(a + 1)) > 0, pentru orice a ∈ (0, ∞).

2. Pe mulțimea de numere reale se definește legea de compoziție asociativă
x ∘ y = √3(xy + 4) − 3(x + y).
a) 0.5p Arătați că √3 ∘ 2 = √3.
b) 0.5pDemonstrați că x ∘ y = √3(x − √3)(y − √3) + √3, pentru orice numere reale x și y.
SUBIECTUL III

1 0.5p Se consideră funcția f: R → R, f(x) = e
2x
(x − 5).

Arătați că f
′
(x) = e
2x
(2x − 9), x ∈ R .
2. 0.5p Se consideră funcția f: R → R, f(x) =
x
√x
2+1
.

Arătați că ∫ f(x)√x
2 + 1
2
0

dx = 2.

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) Which value is equivalent
[tex] {7}^{3} [/tex]
​

Jessica has 23,450 stickers in her sticker collection. Her sister has 20,993 stickers in her collection. Who has the most stickers?

Josh volunteers at a library. One weekend, he put 234 returned books back on the shelves. Of those books 2/3 were hardcover books and the rest were paperback books. How many paperback books did Josh put back on the shelves?