2.6.3 Practice: Quadratic Functions

A function that can be written in the form

 $f\left(x\right)=ax^2+bx+c$  where  $a\ne0$  is called a __________ function.

The graph of a quadratic function is called a ___________.

Tags

CCSS.HSF-IF.C.7A

Which of the following are important features for the graph of a quadratic function?

• x-intercepts

• y-intercepts

• vertex

• axis of symmetry

Tags

CCSS.HSF-IF.C.7A

Which of the following is a quadratic formula in standard form?

• $f\left(x\right)=ax^2+bx+c,\ \left(a\ne0\right)$

• $y-k=a\left(x-h\right)^2$

• $y=a\left(x-r_1\right)\left(x-r_2\right)$

Which of the following is a quadratic formula in intercept form?

• $f\left(x\right)=ax^2+bx+c,\ \left(a\ne0\right)$

• $y-k=a\left(x-h\right)^2$

• $y=a\left(x-r_1\right)\left(x-r_2\right)$

Which of the following is a quadratic formula in vertex form?

• $f\left(x\right)=ax^2+bx+c,\ \left(a\ne0\right)$

• $y-k=a\left(x-h\right)^2$

• $y=a\left(x-r_1\right)\left(x-r_2\right)$

List the intercepts, vertex, and axis of symmetry for the quadratic function whose graph is shown.

Tags

CCSS.HSF-IF.C.7A

List the intercepts, vertex, and axis of symmetry for the quadratic function whose graph is shown.

Tags

CCSS.HSF-IF.C.7A

Which quadratic equations are equal to $y=\left(x+1\right)\left(x-3\right)$  ?

•  $y=x^2-2x-3$  

•  $y-5=-2\left(x+1\right)^2$  

•  $y=x^2-x-6$  

•  $y=\left(x+2\right)\left(x-3\right)$  

•  $y+4=\left(x-1\right)^2$  

Which quadratic equations are equal to $y=-2x^2-4x+3$  ?

•  $y=x^2-2x-3$  

•  $y-5=-2\left(x+1\right)^2$  

•  $y=x^2-x-6$  

•  $y=\left(x+2\right)\left(x-3\right)$  

•  $y+4=\left(x-1\right)^2$