Graphing Quadratics

What is the vertex of this quadratic equation? 
 $f\left(x\right)=-\left(x+2\right)^2+4$  

•  $\left(2,-4\right)$  

•  $\left(-2,4\right)$  

•  $\left(2,4\right)$  

•  $\left(-2,-4\right)$  

•  $\left(4,-2\right)$  

Where is the axis of symmetry for this parabola?

• x = −1
• x = 0
• y = 3
• x = −3

Tags

CCSS.HSA.REI.B.4

What is the maximum/minimum of a parabola called?

• vertex
• point
• top
• bottom

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which of the following is the correct equation for the given graph?

• f(x) = (x - 2)² - 1
• f(x) = (x + 2)² - 1
• f(x) = -(x + 2)² - 1
• f(x) = -(x - 2)² - 1

Tags

CCSS.HSF-IF.C.7A

Does this graph have a maximum or minimum?

• Minimum
• Maximum

Tags

CCSS.HSF-IF.C.7A

What are the x- intercepts?

• $\left(0,0\right)\ \&\ \left(-4,0\right)$

• $\left(0,0\right)\ \&\ \left(4,0\right)$

• $\left(0,0\right)$

• $\left(2,-2\right)$

• $\left(5,2\right)\ \&\ \left(-1,2\right)$

 $f\left(x\right)=-\left(x-4\right)^2-3\ \$  

Would the above function have a maximum or minimum value?

• Absolute and relative Maximum

• Absolute and relative Minimum

• Relative Maximum only

• Relative Minimum only

• Absolute Maximum only

In vertex form, what effect(s) can the a have on the graph?

*Select all that apply!

• Vertically shifts the function Up/Down

• Horizontally shifts the function Left/Right

• Vertically stretches/shrinks the function

• Vertically reflects the function

• Horizontally reflects the function

In vertex form, what effect does the h have on the graph?

• Vertically shifts the function Up/Down

• Horizontally shifts the function Left/Right

• Vertically stretches/shrinks the function

• Vertically reflects the function

• Horizontally reflects the function

Which quadratic function is represented by the graph?

• y = 2(x - 4)² + 5
• y = 2(x + 4)² + 5
• y = -2(x - 4)² + 5
• y = -2(x + 4)² + 5

Tags

CCSS.HSF-IF.C.7A