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Grade 9 · Math · Algebra 1

9th grade Features of a parabola from its graph or its equation worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

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Features of a parabola from its graph or its equation

Grade 9 Math Worksheet - Building Confidence

NameDate

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

  1. Read this first

    Use the table

    input xoutput y
    -10
    0-3
    1-4
    2-3
    30
    45
    512
  2. Jun records a table for a skate ramp curve. What is the axis of symmetry? Write the number after x =.

  3. Luz records a table for a bowl design (the bowl is for slime). What is the axis of symmetry? Write the number after x =.

  4. Noah graphs a valley on a hiking map and keeps a table. Where does the graph cross the x-axis? Type both x-values, smaller first, with a comma between.

  5. Pia graphs the roof of a play tent and keeps a table. Where does the graph cross the x-axis? Type both x-values, smaller first, with a comma between.

  6. Ren graphs a cereal bowl and keeps a table (the cereal stays out). Where does the graph cross the x-axis? Type both x-values, smaller first, with a comma between.

  7. Tala graphs a bike ramp and keeps a table. Where does the graph cross the x-axis? Type both x-values, smaller first, with a comma between.

  8. Zee graphs a basketball shot, y = -x² + 4x + 1, with vertex (2, 5). Does the graph have a maximum or a minimum, and what is it?

    • A minimum of 5
    • A maximum of 5
    • A maximum of 2
  9. Bo graphs a bowl, y = 2x² + 12x + 13, with vertex (-3, -5). Does the graph have a maximum or a minimum, and what is it?

    • A maximum of -5
    • A minimum of -5
    • A minimum of -3
  10. Esme graphs a swing path, y = x² - 8x + 10, with vertex (4, -6). Does the graph have a maximum or a minimum, and what is it?

    • A minimum of 4
    • A minimum of -6
    • A maximum of -6
  11. Jun graphs a frog's hop, y = -3x² - 6x + 4, with vertex (-1, 7) (a personal best). Does the graph have a maximum or a minimum, and what is it?

    • A maximum of 7
    • A maximum of -1
    • A minimum of 7
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9th grade Features of a parabola from its graph or its equation worksheet – printable
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About this worksheet

Features of a parabola. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can find the axis of symmetry from a table or from x = -b/(2a).
  • I can say whether a parabola has a maximum or a minimum, and give it, its range and where it rises.
  • I can say what the vertex means in a story.

Standard: F-IF.B.4, F-IF.B.5, F-IF.C.7a, F-IF.C.8a

Words to know

axis of symmetry: The mirror line through the vertex, written x = number.

maximum / minimum: The highest or lowest output, the y-value of the vertex.

x-intercept: An input where the output is 0.

y-intercept: The output when the input is 0.

range: Every output the graph reaches, written with ≥ or ≤.

increasing: The outputs get larger as x gets larger.

Common mistakes

Your child gave the height of the turning point instead of the line it sits on.

Your child took the middle row of the table as the middle of the graph.

Your child gave the output 0 instead of the input in that row.

What to say

Ask: the axis of symmetry is a line x = something, so which number goes there?

Ask: which two rows have the same output, and what is halfway between them?

Ask: in the row where the output is 0, what is the input?

Questions parents ask

What is the most common mistake with features of a parabola from its graph or its equation?

Your child gave the height of the turning point instead of the line it sits on.

How can I help my child with features of a parabola from its graph or its equation?

Ask: the axis of symmetry is a line x = something, so which number goes there?

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

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