Grade 9 · Math · Algebra 1

9th grade Graph y = ax² + bx + c, and match equations, tables and graphs worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

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Graph y = ax^2 + bx + c, and match equations, tables and graphs

Grade 9 Math Worksheet - Building Confidence

NameDate

Circle the best answer, or write your answer on the line.

Ari plots a skate ramp dip with y = x² - 4x + 1. What is the output in the table row with input -2?
Bo draws the curve of a giant soup bowl with y = x² + 6x + 2 (soup not included). What is the output in the table row with input -5?
Esme graphs a swing's path with y = x² - 2x - 5. What is the output in the table row with input -4?
Jun maps a dip in a bike trail with y = x² + 5x - 3. What is the output in the table row with input -2?
Kira graphs a bowl with y = 2x² - 12x + 5. Its mirror (axis of symmetry) is x = -b/(2a), with a = 2 and b = -12. What is that x?
Luz maps a valley with y = x² + 8x + 3. Its mirror (axis of symmetry) is x = -b/(2a), with a = 1 and b = 8. What is that x?
Milo sketches a rainbow, y = -2x² + 12x + 1 (colors later). Its mirror (axis of symmetry) is x = -b/(2a), with a = -2 and b = 12. What is that x?
Noah graphs a swing with y = 3x² - 30x + 4. Its mirror (axis of symmetry) is x = -b/(2a), with a = 3 and b = -30. What is that x?
9.
Pia graphs y = -x² + 6x - 2 to plan a rainbow mural. Does the graph open up or down?
- Up, because x² is never negative
- Up, because b = 6 is above 0
- Down, because a = -1 is below 0
10.
Ren graphs y = 2x² - 8x - 3 for a bowl design. Does the graph open up or down?
- Down, because c = -3 is below 0
- Down, because b = -8 is below 0
- Up, because a = 2 is above 0

9th grade Graph y = ax² + bx + c, and match equations, tables and graphs worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Graph quadratics in standard form, and match equations, tables and graphs. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can fill in a table for y = ax² + bx + c, including negative inputs.
I can find the mirror (axis of symmetry) and the vertex from the equation.
I can match an equation to its table or graph by the opening, the mirror and the y-intercept.

Standard: F-IF.C.7a, F-IF.B.4

Words to know

parabola: The U-shaped graph of y = ax² + bx + c.

vertex: The turning point: the lowest or highest point.

axis of symmetry: The mirror line x = -b/(2a) through the vertex.

mirror rows: Two table rows the same distance from the mirror, with equal outputs.

opens up / down: a above 0 opens up; a below 0 opens down.

Common mistakes

Your child treated a negative number squared as negative, so (-2)² became -4.

Your child got the sign wrong when multiplying the middle number by a negative input.

Your child multiplied by the front number before squaring.

What to say

Ask: what is (-2) × (-2)?

Ask: is -4 × -2 positive or negative?

Ask: in 2x², what is squared, x or 2x?

Questions parents ask

What is the most common mistake with graph y = ax² + bx + c, and match equations, tables and graphs?

Your child treated a negative number squared as negative, so (-2)² became -4.

How can I help my child with graph y = ax² + bx + c, and match equations, tables and graphs?

Ask: what is (-2) × (-2)?

Are these 9th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More algebra 1

See all Algebra 1

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