Question

Consider the quadratic function

f
(
x
)
=
x
2
+
0
x
−
4
.

Determine the following: (enter all numerical answers as integers, fractions, or decimals):

The smallest
x
-intercept is
x
=

-2
Correct .
The largest
x
-intercept is
x
=

2
Correct .
The
y
-intercept is
y
=

-4
Correct .
The vertex is (
0
Correct ,
-4
Correct ).
The line of symmetry has the equation _____

i just need the answer above, the rest is correct

Answer 1

X=0

Explanation:

Frst we want to check is it symmetry function?

F(-x)=f(x)?

We know that f(x)=x^2+0x-4=x^2-4.

What about f(-x)? F(-x)=(-x)^2-4=x^2-4, so we can conclud that f(-x)=f(x), the summetry!

Intesections with x is in the -2 and 2, so the middle is x=0.