IXL - Write a quadratic function in vertex form from its vertex and another point (Algebra 2 practice)

A parabola opening up or down has vertex

(

)

and passes through

(

–

)

Write its equation in vertex form.

Simplify any fractions.

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question

A parabola opening up or down has vertex

(

)

and passes through

(

–

)

Write its equation in vertex form.

Simplify any fractions.

key idea

The vertex form of a parabola that opens up or down is

(

–

)

The vertex is

(

)

the parabola opens up. If

the parabola opens down.

solution

To write the equation in vertex form, start by plugging in the vertex coordinates.

(

–

)

Plug in

and

(

–

)

Plug in

and

Now, use the other point on the parabola to solve for

Plug in

–

and

(

–

)

Plug in

–

and

The equation of the parabola in vertex form is:

Looking for more? Try these:

Lesson: Quadratic functions

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Not feeling ready yet? These can help:

N.2Characteristics of quadratic functions: equations

C.8Solve two-step linear equations

Lesson: Quadratic functions

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