Vertex Form (2.21-2.24)

Vertex Form

By Malcolm Pressley Beason

Review

Multiple Choice

What is the equation of the horizontal asymptote for following exponential function?

• y = -4

• y > -4

• y < -4

• (0, -3)

Multiple Choice

The table shows the x- and y- coordinates of some points on the graph of an exponential function.

Based on the table, which function represents the same relationship?

• $$y=8\left(0.5\right)^x$$  

• $$y=\left(0.5\right)^x$$  

• $$y=0.5\left(8\right)^x$$  

• $$y=8\left(1.5\right)^x$$  

Multiple Choice

The graph shows the number of game consoles sold in millions since 2009.

Based on this information, which function best models the number of game consoles sold in millions x years since 2009?

• $$g\left(x\right)\ =\ 0.6\left(25.5\right)^x$$  

• $$g\left(x\right)\ =\ 25.5\left(0.6\right)^x$$  

• $$g\left(x\right)\ =\ 6.12\left(25.5\right)^x$$  

• $$g\left(x\right)\ =\ 25.5\left(6.12\right)^x$$  

Fill in the Blank

What is the asymptote for the graph provided?

=

Vertex Form

Multiple Choice

If red represents y = x², which equation represents blue?

• y = 2x²
• y = -2x²
• y = -x²
• y = (x - 1)²

Multiple Choice

What is the vertical shift of this equation?
f(x) = -(x + 3)² - 5

• left 5
• right 5
• up 5
• down 5

Multiple Choice

Describe the transformations of f(x) when compared to the parent function.
f(x)=(x+7)²

• horizontal shift left 7 units
• horizontal shift right 7 units
• vertical shift up 7 units
• vertical shift down 7 units

Multiple Choice

Describe the transformation of
f(x) = x² -8 when compared to the parent function

• Vertical shift sp 8 units
• Vertical shift down 8 units
• Horizontal shift right 8 units
• Horizontal shift left 8 units

Multiple Choice

What is the equation of the quadratic function obtained from vertically compressing the parent function by 3/5 and then shifted up 8 units?

• f(x)= 3/5(x-8)²

• f(x)=3/5x²+8

• f(x)=x²

• f(x)=3/5x²-8

Multiple Choice

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

• (5, -4)
• (-5, -4)
• (-15, -4)
• (15, -4)

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

Which equation has a vertex of (-3, 4)?

• y = 2(x+3)² + 4
• y = (x+3)² - 4
• y = (x-3)² + 4
• y = 2(x - 3)² + 4

Multiple Choice

What is the green dashed line called?

• roots or x-intercepts

• parabola

• Axis of symmetry / Line of symmetry

• line of dashes

Multiple Choice

What is the axis of symmetry for the equation: y = ½(x - 4)² - 4?

• y = 4

• y = - 4

• x = 4

• x = - 4