Question

WILL GIVE BRAINLIEST A student is comparing two quadratic functions,
f
(
x
)
and
g
(
x
)
. The function
f
(
x
)
is modeled by the equation
f
(
x
)
=
(
x
+
5
)
2
−
10
, and the table represents the function
g
(
x
)
.

x
0
1
2
3
4
g
(
x
)
4
5
8
13
20
What is the distance between the
y
-intercepts of
f
(
x
)
and
g
(
x
)
?

Answer 1

Answer: 11 units

Step-by-step explanation:

The y-intercept is when x = 0.

For f(x), $f(0)=(0+5)^{2}-10=15$

For g(x), $g(0)=4$

So, the distance is $15-4=\boxed{11}$