Quadratics: Roots, D & R, Vertex to Standard Form

Find the zero(s) to the given quadratic. You may use any method you prefer.

• {±1.5}

• {1.5}

• {±1}

• No real solution

What is the domain of the graph?

• All Real Numbers

• to infinity and beyond

• $y\ge0$

• $x\ge0$

What is the range of this function?

• $-4\le y\le5$

• $-1\le x\le3$

• All Real Numbers

• $y\ge-4$

What is the domain?

• $-4<x\le5$

• $-4\le x<5$

• $-3<y<3$

• $-3\le y\le3$

Write  $f\left(x\right)=x^2+4x-1$  in vertex form. 

HINT: try graphing and matching!

•  $f\left(x\right)=\left(x-2\right)^2+5$ 

•  $f\left(x\right)=\left(x+2\right)^2-5$  

•  $f\left(x\right)=\left(x+2\right)^2-1$ 

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

What are the solutions of this function?

• $\left(-1,\ 3\right)$

• $\left(1,\ -4\right)$

• $\left\{-2,\ 5\right\}$

• $\left\{-1,\ 3\right\}$

What is the vertex of this function?

• (0, -3)

• (1, -4)

• (-2, 5)

• {-1, 3}

Does this function have a maximum or minimum?

• maximum

• minimum

Factor.
 $3v^2-4v-7$  

•  $\left(3v-7\right)\left(v+1\right)$ 

•  $3\left(v-7\right)\left(v-1\right)$  

•  $\left(3v+1\right)\left(v-9\right)$ 

•  $\left(3v+1\right)\left(v-10\right)$  

Find the axis of symmetry for the graph

• x = -1
• x = 1
• x = 3
• x = -1 , 3