Quadratic Functions

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

•  $\left(-2,\ 4\right)$  

•  $\left(2,\ 4\right)$  

•  $\left(-2,\ -4\right)$  

•  $\left(2,\ -4\right)$  

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is an equation of the axis of symmetry of the quadratic function represented by $y=-x^2+6x-4$  ?

•  $x=3$  

•  $y=3$  

•  $x=6$  

•  $y=6$  

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

What is the vertex of the graph of the equation $y=3x^2+6x+1$  ?

•  $\left(-1,\ -2\right)$  

•  $\left(-1,\ 10\right)$  

•  $\left(1,\ -2\right)$  

•  $\left(1,\ 10\right)$  

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

If the vertex of the quadratic function is on the x-axis, how many solutions does the equation have?

• one solution

• two solutions

• no solutions

• infinitely many solutions

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

If the equation of the axis of symmetry of a quadratic function is x = 2, which coordinate could be the vertex?

• (1, 2)

• (-1, 2)

• (2, 1)

• (-2, 1)

Which quadratic equation has x = −2 as its axis of symmetry?

• $y=x^2-4x+1$

• $y=x^2-2x+3$

• $y=2x^2+8x-3$

• $y=2x^2+4x-7$

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

What is the "formula" for finding the axis of symmetry? 

•  $y=ax^2+bx+c$  

•  $x=\frac{-b}{2a}$  

•  $y=mx+b$  

•  $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$  

Morty throws a ball up into the air. The height of the ball above the ground, in feet, is modeled by the function $h\left(t\right)=-16t^2+24t$ , where t represents the time, in seconds, since the ball was thrown.  Which key feature represents the maximum height the ball reaches?

• The x-intercept

• The y-intercept

• The vertex

• The roots

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

A swim team member performs a dive from a 14-foot-high springboard. The graph shows the path of her dive. Based on the graph, which of the following is not true?

• The diver was at their maximum height at 3 seconds.

• The diver took approximately 8 seconds to reach the water.

• The maximum height the diver reached was 24 feet.

• The diver's height was decreasing for 5 seconds.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which graph represents a quadratic function?

• 
• 
• 
• 

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSG.GPE.A.2