Question

Fill in the table for the equation & () = 3²-7
X
-1
0
y

Answer 1

Answer: x = -4, y = 41; x = -1, y = -4; x = 0, y = -7; x =
`(1)/(2)`, y =
`-(25)/(4)`

Explanation:

We can think of k (x) as y (same with f (x), g (x), etc.), and the value in the parentheses of k (x) is the x-value. So, to find each value of y, we plug in the x-value into the equation k (x) = 3x² - 7:

x = -4: x = -1:
k (-4) = 3(-4)² - 7 k (-1) = 3(-1)² - 7
= 3(16) - 7 = 3(1) - 7
= 48 - 7 = 3 - 7
= 41 = -4

x = 0: x =
`(1)/(2)`:
k (0) = 3(0)² - 7 k (
`(1)/(2)`) = 3(
`(1)/(2)`)² - 7
= 3(0) - 7 = 3(
`(1)/(4)`) - 7
= 0 - 7 =
`(3)/(4)` - 7
= -7 =
`-(25)/(4)`

I hope this helps! :)