Question

Describe the transformation and give the equation for the graph. help!!

Answer 1

A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.

Explanation:

This translation maps △ X Y Z \triangle{XYZ} △XYZtriangle, X, Y, Z onto the blue triangle. The result is a new figure, called the image. The image is congruent to the original figure.

Answer 2

The equation of the graphed absolute value function is y = 5 | x | - 7

D. it a graph of the function f(x) = |x|. Stretched vertically by a function of 5 and translated 7 units down. The equation is y = 5 | x | - 7

How to write absolute value function graph

Absolute value function graph is written using the formula

y = a | x − h | + k

where the vertex has coordinates (h, k)

From the graph

h = 0

k = -7

Plugging in the values to the equation

y = a | x − h | + k

y = a | x − 0 | - 7

Using point (1, -2) from the graph, we solve for a\

y = a | x − 0 | - 7

-2 = a |-1 − 0 | - 7

5 = a |-1 |

a = 5

Hence the equation is

y = 5 | x | - 6