Quadratic Forms

Which of the following is Standard Form?

• $y=ax^2+bx+c$

• $y=a\left(x-p\right)\left(x-q\right)$

• $y=a\left(x-h\right)^2+k$

Tags

TEKS.MATH.A.6B

Which of the following is Vertex Form?

• $y=ax^2+bx+c$

• $y=a\left(x-p\right)\left(x-q\right)$

• $y=a\left(x-h\right)^2+k$

Tags

TEKS.MATH.2A.6B

TEKS.MATH.2A.6C

What is an equation of a parabola with the vertex of  $\left(3,-4\right)$  ?

•  $y=-\frac{1}{2}\left(x+3\right)^2-4$  

•  $y=2\left(x-3\right)^2+4$  

•  $y=\frac{3}{2}\left(x-3\right)^2-4$  

•  $y=\left(x+3\right)^2+4$  

Tags

CCSS.HSA.CED.A.1

What is an equation of a parabola with the vertex of  $\left(-2,-4\right)$  ?

•  $y=-\left(x+2\right)^2-4$  

•  $y=\frac{3}{2}\left(x-2\right)^2+4$  

•  $y=\frac{3}{2}\left(x-2\right)^2-4$  

•  $y=\left(x+2\right)^2+4$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.A.1

What is an equation of a parabola with the vertex of  $\left(4,9\right)$  ?

•  $y=-\frac{4}{5}\left(x+4\right)^2-9$  

•  $y=\frac{3}{4}\left(x-4\right)^2+9$  

•  $y=-\frac{5}{2}\left(x-4\right)^2-9$  

•  $y=\left(x+4\right)^2+9$  

Which of the following is Intercept (Factored) Form?

• $y=ax^2+bx+c$

• $y=a\left(x-p\right)\left(x-q\right)$

• $y=a\left(x-h\right)^2+k$

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What is an equation of a quadratic with x-intercepts at  $\left(-1,0\right)$   and  $\left(-10,0\right)$  

•  $y=-2\left(x+1\right)\left(x-10\right)$  

•  $y=\frac{1}{3}\left(x+1\right)\left(x+10\right)$  

•  $y=-\frac{1}{10}\left(x-1\right)\left(x+10\right)$  

•  $y=3\left(x-1\right)\left(x-10\right)$  

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

What is an equation of a quadratic with x-intercepts at  $\left(4,0\right)$   and  $\left(-5,0\right)$  

•  $y=-\frac{1}{3}\left(x+4\right)\left(x-5\right)$  

•  $y=4\left(x+4\right)\left(x+5\right)$  

•  $y=-\frac{4}{5}\left(x-4\right)\left(x+5\right)$  

•  $y=3\left(x-4\right)\left(x-5\right)$  

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

What is an equation of a quadratic with x-intercepts at  $\left(7,0\right)$   and  $\left(11,0\right)$  

•  $y=-\frac{1}{3}\left(x+7\right)\left(x-11\right)$  

•  $y=-\left(x+7\right)\left(x+11\right)$  

•  $y=\frac{2}{5}\left(x-7\right)\left(x+11\right)$  

•  $y=\frac{3}{2}\left(x-7\right)\left(x-11\right)$  

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

 $y=-\frac{2}{3}\left(x-4\right)^2+10$  What is the vertex of the parabola with the equation

•  $\left(4,10\right)$  

•  $\left(-4,10\right)$  

•  $\left(4,-10\right)$  

•  $\left(-4,-10\right)$  

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7