Graphing Quadratics (Standard, Vertex, Intercept Forms)

Which of the following equations represents the standard form of a quadratic function?

• $y=ax^2+bx+c$

• $y=a\left(x-b\right)\left(x-c\right)$

• $y=a\left(x-h\right)^2+k$

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Which of the following equations represents the vertex form of a quadratic function?

• $y=ax^2+bx+c$

• $y=a\left(x-b\right)\left(x-c\right)$

• $y=a\left(x-h\right)^2+k$

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

Which of the following vocabulary words describes the point where a quadratic function reaches its highest or lowest point?

• Y-Intercept

• X-Intercept(s)

• Axis of Symmetry

• Vertex

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Find the Axis of Symmetry of the following Quadratic Function:

 $y=x^2+6x+5$  

•  $x=6$  

•  $x=5$  

•  $x=-5$  

•  $x=-1$  

•  $x=-3$  

Tags

CCSS.HSA.REI.B.4

Find the Vertex of the following Quadratic Function:

 $y=x^2+12x+20$  

•  $\left(-6,-16\right)$  

•  $\left(6,-16\right)$  

•  $\left(0,20\right)$  

•  $\left(-10,0\right)$  

•  $\left(-2,0\right)$  

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Find 1 of the X-Intercepts of the following Quadratic Function:

 $y=-2\left(x-9\right)\left(x-1\right)$  

(Only 1 of them are below)

•  $\left(0,18\right)$  

•  $\left(1,0\right)$  

•  $\left(-9,0\right)$  

•  $x=-1$  

•  $\left(-2,0\right)$  

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

Find the Axis of Symmetry of the following Quadratic Function:

 $y=\left(x+2\right)\left(x-4\right)$  

•  $x=1$  

•  $x=-4$  

•  $x=-2$  

•  $x=-1$  

•  $x=-3$  

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

Find the Vertex of the following Quadratic Function:

 $y=-\left(x+3\right)^2-4$  

•  $\left(-3,-4\right)$  

•  $\left(4,5\right)$  

•  $\left(3,-4\right)$  

•  $\left(4,3\right)$  

•  $\left(-3,12\right)$  

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Find the Axis of Symmetry of the following Quadratic Function:

 $y=\frac{1}{2}\left(x+9\right)^2-8$  

•  $x=9$  

•  $x=-9$  

•  $x=-2$  

•  $x=-1$  

•  $x=-8$  

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What causes the graph of y = x² to open downward?

• multiply the x² by a fraction
• multiply the x² by a decimal
• multiply the x² by a negative number
• multiply the x² by a number greater than 1

Tags

CCSS.HSF.BF.B.3