Find the value and vertex of these functions!!!

Question

h(x)=3|x|-1

what is the value of h(-7)

f(x)=-2|x-5|+3
What is the vertex of the graph of f(x)?

Answer 1

The function h(x) = 3|x| - 1

h(-7) = 3|-7| - 1

= 21 - 1

h(-7) = 20.

Answer 2

The function f(x) = - 2|x - 5| + 3

y = - 2|x - 5| + 3

To find the vertex equate the inside of absolute value to 0.

x - 5 = 0

x = 5

Substitute x = 5 in y = - 2|x - 5| + 3

y = - 2|5 - 5| + 3

y = 3

Vertex of f(x) is (x,y) = (5, 3).