4-7A ALG Vertex Form

4-7A ALG Vertex Form

Multiple Choice

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?

• y = -2
• x = 3
• x = -3
• y = 2

Multiple Choice

What is the green dashed line called?

• roots or x-intercepts
• parabola
• axis of symmetry
• line of dashes

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

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

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

Which transformation transforms the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

• a vertical translation 4 units up
• a vertical translation 4 units down
• a horizontal translation 4 units to the left
• a horizontal translation 4 units to the right

Multiple Choice

In the equation f(x)=5(x+3)²-10 what does the 5 do?

• Stretch by 5
• Compress by 5
• Reflect
• Move up 5

Multiple Choice

In the equation f(x)=6(x-10)²+100, what does the 10 do to the parabola?

• Horizontal Shift right 10

• Vertical Shift up 10

• Horizontal Shift left 10

• Vertical Shift down 10

Multiple Choice

In the equation f(x)=-10(x-10)²-10, what happens to the parabola?

• Compressed by -10, HS right 10, VS down 10
• Stretched by -10, HS left 10, VS down 10
• Reflect, Stretch by 10, HS right 10, VS down 10
• Reflect, Stretch by 10, HS left 10, VS down 10

Multiple Choice

In the equation f(x)=1/2(x+9)²-1, what happens to the parabola?

• Reflect, compress by 1/2, HS left 9, VS down 1
• Compress by 1/2, HS left 9, VS down 1
• Compress by 1/2, HS right 9, VS down 1
• Stretch by 1/2, HS left 9, VS down 1

My answer in the video was wrong.

The correct answer should be

 $y=-\left(x-3\right)^2+7$  
Sorry about that.

Multiple Choice

What is the equation of the new parabola if the parent function is reflected about the x-axis, then shifted five

units left.

• $y=-\left(x+5\right)^2$

• $f\left(x\right)=-\left(x-5\right)^2$

• $y=-2\left(x+5\right)^2$

• $f\left(x\right)=-x^2-5$

Multiple Choice

What is the equation if the parent function is shifted seven units right and vertically stretched by a factor of four?

• $f\left(x\right)=4\left(x-7\right)^2$

• $f\left(x\right)=4\left(x+7\right)^2$

• $y=\left(x-7\right)^2+4$

• $y=\left(x+7\right)^2+4$

Multiple Choice

What is the equation if the parent function is shifted four units left, six units down, and reflected across the x-axis, and vertically compressed by a factor of one-half?

• $y=-\frac{1}{2}\left(x+4\right)^2-6$

• $y=-\frac{1}{2}\left(x-4\right)^2-6$

• $f\left(x\right)=\frac{1}{2}\left(x+4\right)^2+6$

• $f\left(x\right)=-6\left(x+4\right)^2-\frac{1}{2}$

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

Multiple Choice

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

• g(x) = (x + 3)²
• g(x) = (x - 3)²
• g(x) = x² + 3
• g(x) = x² - 2

Multiple Choice

What is the vertex of the parabola: y=2(x-3)²+4

• (3,4)
• (-3,4)
• (3, -4)
• (-3,-4)

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

Which equation matches the graph above?

• $r\left(x\right)=-\left(x+4\right)^2-1$

• $r\left(x\right)=\left(x+4\right)^2-1$

• $r\left(x\right)=-\left(x-4\right)^2+1$

• $r\left(x\right)=\left(x-4\right)^2+1$

Multiple Choice

Which equations matches the graph above?

• $h\left(x\right)=\ \left(x+1\right)^2-4$

• $h\left(x\right)=-\left(x+1\right)^2-4$

• $h\left(x\right)=\left(x+4\right)^2-1$

• $h\left(x\right)=-\left(x+4\right)^2+1$

Multiple Choice

Which equation is graphed above?

• $y=-\left(x-1\right)^2+4$

• $y=\left(x-1\right)^2+4$

• $y=-\left(x-4\right)^2+1$

• $y=\left(x-4\right)^2+1$

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