Question

4. The graph of the quadratic function h passes through the points (-4, 32), (3, 4), (5, 14), and (7, 32). Which of

the following shows the same relationship as h?

Answer 1

J)

Explanation:

The graph of the quadratic function h passes through the points (-4, 32), (3, 4), (5, 14), and (7, 32).

In terms of arrow diagram:

(-4,32) has the mapping
`-4\to 32`

(3,4) has the mapping
`3\to 4`

(5,14) has the mapping
`5\to 14`

(7,32) has the mapping
`7\to 32`

Therefore mapping diagram shows the same relationship as h.

Answer 2

J.

Explanation:

The graph on option F showing (3,4) and (5,10). This is wrong because 5 should result in 14 (5, 14).

If you put x=-4 on option G, it will be:

f(x)= x^2 +3x +4

f(x)= -4^2 + 3(-4) +4

f(x)= 16-12+4

f(x)=8

It is wrong because -4 should result in 32 (-4, 32).

Option H also wrong cause they have x and f(x) switched around. It should be x=-4 and f(x) =32, but they show x=32 and f(x)= -4 instead.

Option J true because it shows the same result as the quadratic function h (-4, 32), (3, 4), (5, 14), and (7, 32).