Grade 9 · Math · Algebra 1

9th grade Vertex form y = a(x - h)² + k: graph it and write it worksheet

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Vertex form y = a(x - h)^2 + k: graph it and write it

Grade 9 Math Worksheet - Building Confidence

NameDate

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

Milo graphs a bowl with y = (x - 3)² + 2. What is the vertex? Type its x-value, then its y-value, with a comma between.
Pia graphs a skate ramp with y = 2(x - 1)² - 5 (helmets on). What is the vertex? Type its x-value, then its y-value, with a comma between.
Ren graphs a rainbow with y = -(x + 2)² + 6. What is the vertex? Type its x-value, then its y-value, with a comma between.
4.
Tala slides a cut-out of the graph of y = x² across graph paper. How must it move to make the graph of y = (x + 4)² - 1?
- Left 1, down 4
- Left 4, down 1
- Right 4, down 1
5.
Zee moves a kite-shaped curve, the graph of y = x², on a grid. How must it move to make the graph of y = (x - 2)² + 5?
- Right 2, up 5
- Left 2, up 5
- Right 5, up 2
6.
Ari moves the graph of y = x² on a map grid (the map is upside down). How must it move to make the graph of y = (x - 6)² - 3?
- Left 6, down 3
- Right 6, down 3
- Left 3, up 6
7.
Bo traces the graph of y = x² and slides the tracing. How must it move to make the graph of y = (x + 1)² + 7?
- Left 1, up 7
- Right 1, up 7
- Right 7, down 1
Esme fills in a table for y = 2(x - 1)² + 3, a bowl design. What is the output in the row with input 4?
Jun fills in a table for y = -(x + 2)² + 5, a basketball shot. What is the output in the row with input 1?
Kira fills in a table for y = 3(x - 2)² - 4, a skate ramp. What is the output in the row with input -1?

Vertex form: graph it and write it. Every version has 10 questions, and the answer key prints on the second page.

I can read the vertex of y = a(x - h)² + k and say how the graph of y = x² moved.
I can find a from the vertex and one more point.
I can rewrite vertex form as y = ax² + bx + c.

Standard: F-IF.C.7a, F-BF.B.3, F-BF.A.1a, F-IF.C.8a

vertex form: y = a(x - h)² + k, with vertex (h, k).

shift: A slide of the whole graph left, right, up or down.

stretch: Outputs times a: size above 1 is narrower, below 1 is wider.

flip: A negative a turns the graph upside down.

Your child used the sign shown in the bracket, so the graph went the wrong way.

Your child swapped the sideways move and the up-or-down move.

Your child multiplied by the front number before squaring the bracket.

Ask: what x makes (x - 3) equal 0?

Ask: which number is inside the bracket with x?

Ask: what gets squared, the bracket or the bracket times the front number?

What is the most common mistake with vertex form y = a(x - h)² + k: graph it and write it?

Your child used the sign shown in the bracket, so the graph went the wrong way.

How can I help my child with vertex form y = a(x - h)² + k: graph it and write it?

Ask: what x makes (x - 3) equal 0?

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.

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