Question

The function f(x)=−4x−10 maps to the function g(x)=−4x+2 with a shift Response area. The function f(x)=−4x maps to the function g(x)=−4(x−2) with a shift

Answer 1

The function f(x) = −4x − 10 maps to the function g(x) = −4x + 2 with a shift

• 12 units up

The function f(x) = −4x maps to the function g(x) = −4(x − 2) with a shift

• 2 units to the right

How to find the translation

Comparing the functions

f(x) = −4x − 10 and g(x) = −4x + 2

The difference is in the y-intercept ( -10 and 2) and this is a vertical distance (up or down)

From -10 to 2: means going up

= 2 - (-10)

= 2 + 10

= 2

Comparing the functions

f(x) = −4x and g(x) = −4(x + 2)

The difference is in the x-axis (0 and 2) and this is a horizontal distance (left or right)

From 0 to 2: means going to the right

= 2 - 0

= 2