Graphing Quadratic Functions in Vertex Form

Graphing Quadratic Functions in Vertex Form

Assessment

Interactive Video

Mathematics

8th - 12th Grade

Hard

Created by

Lucas Foster

Used 4+ times

FREE Resource

This lesson covers graphing quadratic functions in vertex form. It explains how to identify the vertex, axis of symmetry, and transformations. The video provides a step-by-step guide to graphing, including plotting the vertex, drawing the axis of symmetry, and finding additional points. A practice problem is solved to illustrate these steps. The lesson also demonstrates converting between vertex and standard forms of quadratic functions.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the vertex form of a quadratic function?

f(x) = a(x + h)^2 + k

f(x) = a(x - h)^2 + k

f(x) = a(x - h)^2 - k

f(x) = ax^2 + bx + c

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the vertex form of a quadratic function is f(x) = a(x + 2)^2 + 3, what is the vertex?

(2, 3)

(-2, 3)

(2, -3)

(-2, -3)

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the axis of symmetry for the function f(x) = a(x - 4)^2 + 5?

y = 4

x = -4

x = 4

y = -4

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why can't the coefficient 'a' be zero in the vertex form of a quadratic function?

It would make the function linear

It would make the function cubic

It would make the function constant

It would make the function undefined

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in graphing a quadratic function in vertex form?

Draw the axis of symmetry

Evaluate the function for two additional points

Draw a smooth curve through the points

Identify and plot the vertex

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the practice problem, what are the coordinates of the vertex for the function f(x) = 2(x - 3)^2 + 1?

(3, -1)

(3, 1)

(-3, 1)

(-3, -1)

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the function f(x) = 2(x - 3)^2 + 1 transformed compared to the parent function?

3 units right, 1 unit down, vertically compressed by 2

3 units left, 1 unit up, vertically compressed by 2

3 units right, 1 unit up, vertically stretched by 2

3 units left, 1 unit down, vertically stretched by 2

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