Vertex Form of a Quadratic Function - Lesson

Presentation

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Mathematics

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9th - 12th Grade

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Hard

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CCSS

HSF-IF.C.7A, HSF.IF.B.4, L.1.1J

Standards-aligned

Lisa Pritchett

FREE Resource

21 Slides • 11 Questions

Fill in the Blanks

Identify the vertex. y = 5(x + 8)² + 3.

Type answer...

Multiple Choice

Identify the vertex and whether the graph opens up or down.

(5, 2); opens up

(5, 2); opens down

(-5, 2); opens up

(-5, 2); opens down

Multiple Choice

What is the equation of this graph?

f(x) = (x -5)² + 1

f(x) = (x - 1)² - 5

f(x) = (x + 1)² - 5

f(x) = (x + 5)² +1

Multiple Choice

How does the value of a affect the graph of the function f(x) = a(x - h)² + k?

It determines the direction the parabola opens.

It determines the horizontal translation.

It determines the vertical translation.

It has no effect on the graph.

Multiple Choice

In the graph, what is the axis of symmetry?

The x-axis is the axis of symmetry.

The y-axis is the axis of symmetry.

x = 1 is the axis of symmetry

y = 4 is the axis of symmetry

Multiple Choice

Mrs. Martone's 7th grade science class built and launched rockets. The graph below shows the height, in feet, over time, in seconds, of a student's rocket. Use the graph to answer the questions below. How long did it take the rocket to reach its maximum height?

1 second

5 seconds

7 seconds

11 seconds

Multiple Choice

What is the equation of a parabola with a vertex of (1, −4) which passes through (−2, −1)? Write the equation in vertex form.

y = -(x - 1)² - 4

y = (x - 1)² - 4

y = -(x + 1)² - 4

y = (x + 1)² - 4

Multiple Choice

Which quadratic function represents the graph shown?

(Hint: Use vertex and another point from the parabola)

$y=\left(x+2\right)^2-1$

$y=2\left(x+2\right)^2-1$

$y=4\left(x-2\right)^2-1$

$y=\frac{1}{4}\left(x+2\right)^2-1$

Multiple Choice

If the blue graph is
f(x) = x²
then the red must be...

g(x) = x²- 5

g(x) = x²+ 5

g(x) = (x - 5)²

g(x) = (x + 5)²

Open Ended

Explain how the graph of the function g(x) = -1/2(x + 2)^2 + 3 is transformed from the parent function f(x) = x^2.

Type response here

Poll

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