Vertex Form Practice Worksheet

A Grade 10 math worksheet focusing on understanding and applying the vertex form of quadratic equations, including identifying the vertex, axis of symmetry, and graphing parabolas.

Grade 10 Math AlgebraVertex Form

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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / FalseCustom

Standards

CCSS.MATH.CONTENT.HSA.SSE.B.3.ACCSS.MATH.CONTENT.HSA.CED.A.2CCSS.MATH.CONTENT.HSF.IF.C.7.A

Topics

AlgebraQuadratic EquationsVertex FormParabolaGrade 10 Math

8 sections · Free to use · Printable

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Vertex Form Practice Worksheet

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Read each question carefully and answer to the best of your ability. Show all your work for full credit.

1. What is the vertex of the parabola represented by the equation y = 2(x - 3)² + 1?

(-3, 1)

(3, 1)

(2, -3)

(1, 3)

2. In the vertex form equation y = a(x - h)² + k, the value of 'h' represents the coordinate of the vertex, and 'k' represents the coordinate of the vertex.

3. Write the equation of a parabola in vertex form with a vertex at (-2, 5) and passing through the point (0, 13).

4. The axis of symmetry for the parabola y = -(x + 4)² - 2 is x = 4.

True

False

5. For the quadratic equation y = (x - 1)² - 4:

a) Identify the vertex:

b) Identify the axis of symmetry:

c) Does the parabola open upwards or downwards?

d) Plot the vertex and at least two other points on the graph above, then sketch the parabola.

6. A ball is thrown into the air. Its height 'h' (in meters) at time 't' (in seconds) is given by the equation h = -5(t - 2)² + 20. What is the maximum height the ball reaches and at what time does it reach this height?