Q1 : let f(x)=2x^2−8 the quadratic function g(x) is f(x) translated 2 units down what is the equation for g(x) q2 let f(x)=x2−1. the function g(x) is a vertical stretch of f(x) by a factor of 8. what is the equation of g(x)? q3 the graph of the function g(x) is a transformation of the parent function f(x)=x2 . which equation describes the function g? (refer to picture attached) a. g(x)=x2+2 b. g(x)=(x−2)2 c. g(x)=(x+2)2 d. g(x)=x2−2

Question # 1.


g(x) is the translation of f(x) 2 units down.

Vertical translation can be expressed as addition or subtraction of a number from the function value. Subtraction indicates that the function is translated down. So, translation of f(x) by 2 units down can be expressed as:

g(x) = f(x) - 2
Using the value of f(x), we can write:



Question # 2



A function can be vertically stretched by multiplying it with a number having magnitude greater than 1. f(x) is to be stretched by a factor of 8 to get g(x), so we can write:

g(x) = 8 * f(x)

Using the value of f(x) we can write: