Math table of values

Question

Consider the table of values for the function y = h(x) given below.

x -4 1 6 10

h(x) 3 -8 4 5

Create a table of values that represents y = h(2x) − 4.

Answer 1

X -4 1 6 10

h(x) 3 -8 4 5

Y=h(2x)-4 7 -4 8 9

Given that y=h(x)

Then substitute the values of h(x) in the equation y=h(2x)-4

Simplifying this, h(2x) =y+4

Then h(2x) =h(x)+4

In the first case where the value of h(x) = 3,

Then h(2x) = 3+4

Hence h(2x) = 7.