Graphing Quadratics

What are the x-intercepts of the graph of  $y=\left(x-2\right)\left(x-4\right)$  ?

•  $\left(2,0\right)\left(4,0\right)$  

•  $\left(-2,0\right)\left(-4,0\right)$  

•  $\left(0,\ 2\right)\left(0,\ 4\right)$  

•  $\left(0,\ -2\right)\left(0,\ -4\right)$  

Is the expression $\left(s+t\right)^2$  equivalent to  $s^2+2st+t^2$  ?

• Yes

• No

What is the y-intercept of the function $f\left(x\right)=\left(x-7\right)\left(x+3\right)$  ?

•  $\left(0,-4\right)$  

•  $\left(0,-21\right)$  

•  $\left(0,\ 10\right)$  

•  $\left(0,\ 7\right)$  

Here is a graph that represents a quadratic function.

Which expression could define this function?

• $\left(x+3\right)\left(x+1\right)$

• $\left(x+3\right)\left(x-1\right)$

• $\left(x-3\right)\left(x+1\right)$

• $\left(x-3\right)\left(x-1\right)$

Which expression is $\left(4x-1\right)\left(3x-7\right)$  written in standard form? 

•  $12x^2-31x+7$  

•  $12x^2-25x+7$  

•  $12x^2+31x+7$  

•  $12x^2-31x-8$  

Select all the quadratic expressions that are in standard form.

• $\left(x-4\right)^2$

• $x^2-8x+16$

• $x^2-9$

• $-12-5x+2x^2$

• $2x\left(x-5\right)$

Select all true statements about the graph that represents $y=2x\left(x-11\right)$  :

• The x-intercepts are at  $\left(-2,0\right),\ \left(11,0\right)$  

• The x-intercepts are at  $\left(0,0\right),\ \left(11,0\right)$  

• It has only one x-intercept. 

• The x-coordinate of the vertex is 5.5.

• The x-coordinate of the vertex is 11. 

Which equation helps find the x-intercepts most efficiently?

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

• $y=x^2+5x+6$

Select all equations whose graphs have a y-intercept with a positive y-coordinate.

• $y=x^2+3x-2$

• $y=x^2+3x+2$

• $y=\left(x-1\right)^2$

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

Which equation matches the graph?

• $y=\left(x-1\right)\left(x+5\right)$

• $y=\left(x+1\right)\left(x-5\right)$

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

• $y=\left(x+2\right)\left(x+9\right)$