Introduction to Quadratics

What is standard form of a quadratic equation?

• $y=ax^2+bx+c$

• $x=\frac{-b}{2a}$

• $Ax+By=C$

• $y=a\left(x-h\right)^2+k$

A parabola is...

• the U-shaped curve created when a quadratic equation is graphed

• the highest point on a graph of a quadratic equation

• the vertical line that divides the graph of a quadratic equation into two equal parts

• an illness kind of like ebola

Tags

CCSS.HSA.REI.D.10

If 'a' is __________ , then the parabola opens __________ .

• positive; up

• positive; down

• negative; up

• negative; right

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

If 'a' is __________ , then the parabola opens __________ .

• negative; down

• negative; up

• positive; down

• positive; left

Tags

CCSS.HSF.BF.B.3

If the a-value of a parabola is 4, how will the parabola open?

• Up

• Down

• Left

• Right

Which a-value will cause a parabola to open down?

• -2

• 1

• 3

• 2

Tags

CCSS.HSF.IF.C.7

Give the a-, b-, and c-values for the following quadratic equation.  $y=x^2+9x+16$  

•  $a=1,\ b=9,\ c=16$  

•  $a=1,\ b=16,\ c=9$  

•  $a=0,\ b=9,\ c=16$  

•  $a=-1,\ b=-9,\ c=16$  

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

What is the a-value in the following quadratic equation?
 $y=-x^2+x-20$  

•  $a=-1$  

•  $a=1$  

•  $a=0$  

•  $a=-20$  

Tags

CCSS.HSA.REI.B.4

What is the b-value in the following quadratic equation?
 $y=-x^2-5$  

•  $b=0$  

•  $b=-1$  

•  $b=-5$  

•  $b=-6$  

What is the c-value in the following quadratic equation?
 $y=x^2+5x$  

•  $c=0$  

•  $c=1$  

•  $c=5$  

•  $c=-1$  

Tags

CCSS.HSA.REI.B.4