LT#2: Quadratic Forms

Which of the following is Standard Form?

• $y=ax^2+bx+c$

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

• $y=a\left(x-h\right)^2+k$

Which of the following is Vertex Form?

• $y=ax^2+bx+c$

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

• $y=a\left(x-h\right)^2+k$

Which of the following is Intercept (Factored) Form?

• $y=ax^2+bx+c$

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

• $y=a\left(x-h\right)^2+k$

For $y=3\left(x+1\right)\left(x-5\right)$  , find the roots.

• x = -1, 5

• x = -5, 1

• x = -3, 15

• x = -15, 3

• This equation has no real roots

Tags

CCSS.HSF-IF.C.7C

What is the concavity of  $y=3\left(x+1\right)\left(x-5\right)$  

• Concave up

• Concave down

• Flat Concavity

• This graph has more than 1 concavity.

Find the y-intercept of    $y=-2x^2+4x+1$  .

•  $y=1$  

•  $y=-1$  

•  $y=3$  

•  $y=-3$  

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

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

•  $y=2\left(x-3\right)^2+4$  

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

•  $y=\left(x+3\right)^2+4$  

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

•  $y=-\left(x+2\right)^2-4$  

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

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

•  $y=\left(x+2\right)^2+4$  

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