IXL - Use zeros to match quadratic functions and graphs (Algebra 1 practice)

Match each quadratic function to its graph.

f
(
x
)
=
2
x
2
–
32
x
+
126
=
2
(
x
–
7
)
(
x
–
9
)
g
(
x
)
=
x
2
+
4

(

)

–

126

(

)

ref_doc_title.

Learn with an example

question

Match each quadratic function to its graph.

f
(
x
)
=
x
2
+
1
g
(
x
)
=
3
x
2
+
18
x
+
24
=
3
(
x
+
4
)
(
x
+
2
)

(

)

(

)

key idea

The graph of the quadratic function

is a parabola. If the leading coefficient is positive

(

the parabola opens up. If it is negative

(

the parabola opens down.

solution

To determine which function describes which graph, find the number of zeros for each.

Set

(

)

This function has no real zeros. That is, the function never intersects the

-axis.

Set

(

)

(

)

(

)

This function has two real zeros:

–

and

–

That is, the function intersects the

-axis

twice, at

–

and

–

To match

(

)

and

(

)

to their graphs, look at the places where the given graphs intersect the

-axis.

(

)

(

)

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Teacher tools

Work it out

Not feeling ready yet? These can help:

Y.4Transformations of quadratic functions

Z.2Solve a quadratic equation using the zero product property

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