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

Write the equation of the parabola that passes through the points

(

–

)

(

–

)

and

(

)

Write your answer in the form

(

–

)

(

–

)

where

and

are integers, decimals, or simplified fractions.

ref_doc_title.

Learn with an example

question

Write the equation of the parabola that passes through the points

(

)

(

)

and

(

)

Write your answer in the form

(

–

)

(

–

)

where

and

are integers, decimals, or simplified fractions.

key idea

A parabola with

-intercepts

and

has an equation of the form

(

–

)

(

–

)

solution

The parabola passes through the points

(

)

(

)

and

(

)

You want to write the equation of the parabola in the form

(

–

)

(

–

)

Notice that the

-coordinates

of two of the points,

(

)

and

(

)

are 0, so those points lie on the

-axis.

That means the parabola has

-intercepts

at 1 and 3. Substitute these values for

and

in the equation.

(

–

)

(

–

)

(

–

)

(

–

)

(

–

)

(

–

)

To find

plug in the

and

-coordinates

of the other point,

(

)

(

–

)

(

–

)

(

–

)

(

–

)

(

)

(

)

Use the value

to finish writing the equation of the parabola.

(

–

)

(

–

)

(

–

)

(

–

)

Looking for more? Try these:

Lesson: Quadratic equations

$Confetti$

Excellent!

Now entering the Challenge Zone—are you ready?

Questions
answeredQuestions

Time
elapsedTime

hr	min	sec
00	00	06

SmartScore
out of 100
IXL's SmartScore is a dynamic measure of progress towards mastery, rather than a percentage grade. It tracks your skill level as you tackle progressively more difficult questions. Consistently answer questions correctly to reach excellence (90), or conquer the Challenge Zone to achieve mastery (100)! Learn more

Teacher tools

Work it out

Not feeling ready yet? These can help:

C.7Solve one-step linear equations

Lesson: Quadratic equations

Excellent! You got that right!

Jumping to level 1 of 1

Excellent!