Vertex Form of a Quadratic Function - Lesson

Fill in the Blanks

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

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.

Poll

How confident do you feel about this topic now?

• Very confident
• Somewhat confident
• Not confident