Question

Describe how the graph of y = x2 can be transformed to the graph of the given equation.

Answer 1

 1.Describe how the graph of y = x2 can be transformed to the graph of the given equation. 

y = (x+17)2 

Shift the graph of y = x2 left 17 units. 


2.Describe how the graph of y= x2 can be transformed to the graph of the given equation. 

y = (x-4)2-8 

Shift the graph of y = x2 right 4 units and then down 8 units. 


.Describe how to transform the graph of f into the graph of g. 

f(x) = x2 and g(x) = -(-x)2 

Reflect the graph of f across the y-axis and then reflect across the x-axis. 

Question 4 (Multiple Choice Worth 2 points) 

Describe how the graph of y= x2 can be transformed to the graph of the given equation. 

y = x2 + 8 

Shift the graph of y = x2 up 8 units. 


Question 5 (Essay Worth 2 points) 

Describe the transformation of the graph of f into the graph of g as either a horizontal or vertical stretch. 
f as a function of x is equal to the square root of x and g as a function of x is equal to 8 times the square root of x 

f(x) = √x, g(x) = 8√x 

vertical stretch factor 8
Plz mark as brainlest

Answer 2

Answer:

Option A is correct.

$y =(x+17)^2$ = Shift the graph $y =x^2$ left 17 units.

Step-by-step explanation:

Horizontal shift: Given a function f(x) , a new function g(x) =f(x-k) where k is constant , is a horizontal shift of function f.

* If k is positive , then the graph will shift right.

* if k is negative, then the graph will shift left.

Given:  $y =x^2$

then, the graph transformed to the graph $y =(x+17)^2$ which means  that the function f(x) :  

+17  is grouped with the x,  therefore it is a horizontal translation.

Since it is added to the x, rather than multiplied by the x, so it is a shift and not a scale.