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

Estimate the quotient for 608 divided by 23

9.-¿Cuál es el resultado correcto de esta
expresión aritmética: 14 - 8 + 3( -9-6)+ 27 / 9
+ raiz cuadrada 16 - 62

In a triangle, the exterior angle is twice of each of the interior opposite angles. The exterior angle is 120°.Find the measure of each interior opposite angle of the triangle.
Pls no Spam. 35 points is the prize

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

W+2=12

Pls explain

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

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

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

Kendrick had 2 / 3 of an ice cream cake left. Each piece on the ice cream cake is 1 / 12 of the entire cake. How many pieces are left?

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?

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

Three-fourths of the difference of a number and 7 is negative fifteen. What is the number? (Please solve very clear and step by step and I'll give u brainlest) ​

Need help with this

PlEase help you can edit the photo

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

1. What is the slope of this graph?
2. What is the y-intercept for the graph?

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?

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?

7) What symbol should be used to show the relationship of 101.768 101.867 between the numbers?​

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

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.

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

Find the GFC of 72 and 64

ratio 2.5 meters to 60 centimeters can be written jn the form 1:n

how many prime numbers are multiples of 8​

ROUND OF THE UNDERLINED DIGIT IN EACH DICEMAL NUMBER

1. 25.5678
2.0.8974
3.12.9542​

The area between z = -1.25
And z = 0.32

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?

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

Measure E is equal to?