Grade 9 · Math · Algebra 1

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

6 printable versionsOn Level10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

When it’s done, scan the sheet with your phone and PencilGo marks it and picks the next one. Create a free account

Version

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

Grade 9 Math Worksheet

NameDate

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

Milo's swing graph has vertex (-4, 8) and passes through (-2, 20). In y = a(x + 4)² + 8, what is a?
Noah's fountain graph has vertex (2, 8) and passes through (4, -4). In y = a(x - 2)² + 8, what is a?
Pia's rocket sketch has vertex (-3, -8) and passes through (-5, -16). In y = a(x + 3)² - 8, what is a?
4.
Tala graphs a rainbow, y = -3(x - 1)² + 4. How does its graph compare with the graph of y = x²?
- Flipped upside down, wider, vertex (1, 4)
- Opens up, narrower, vertex (1, 4)
- Flipped upside down, narrower, vertex (1, 4)
- Flipped upside down, narrower, vertex (-1, 4)
5.
Zee graphs a wide salad bowl, y = (1/2)(x + 2)² - 1. How does its graph compare with the graph of y = x²?
- Flipped upside down, wider, vertex (-2, -1)
- Opens up, wider, vertex (-2, -1)
- Opens up, narrower, vertex (-2, -1)
- Opens up, wider, vertex (2, -1)
6.
Ari graphs a half-pipe, y = 2x² - 5 (only on paper, for now). How does its graph compare with the graph of y = x²?
- Opens up, narrower, vertex (0, -5)
- Flipped upside down, narrower, vertex (0, -5)
- Opens up, wider, vertex (0, -5)
7.
Esme graphs a cereal bowl on a grid. Which equation makes this graph?
- y = 2(x + 3)² - 1
- y = 2(x - 1)² - 3
- y = (x + 1)² - 3
- y = 2(x + 1)² - 3
8.
Jun graphs a tent roof on a grid. Which equation makes this graph?
- y = -(x - 4)² + 2
- y = -(x + 2)² + 4
- y = -2(x - 2)² + 4
- y = -(x - 2)² + 4
9.
Kira graphs a ramp dip on a grid. Which equation makes this graph?
- y = 3(x + 1)² - 2
- y = 3(x + 2)² + 1
- y = (x - 1)² - 2
- y = 3(x - 1)² - 2
10.
Luz graphs a ball toss on a grid (great catch!). Which equation makes this graph?
- y = -2(x - 3)² + 5
- y = -(x + 3)² + 5
- y = -2(x + 3)² + 5
- y = -2(x - 5)² - 3

9th grade Vertex form y = a(x - h)² + k: graph it and write it worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

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

What your child will learn

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

Words to know

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.

Common mistakes

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.

What to say

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?

Questions parents ask

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.

More algebra 1

See all Algebra 1

Every sheet you scan goes into your child’s record: dated, marked and ready for the year-end portfolio. Homeschool records