Linear and Quadratic Functions Concepts Review

 $f\left(x\right)\$  is the same thing as ___________.
  

• y

• input

• x

• an equation

How would you write   $y=2x-3$ 
  in function notation?

•  $y=2x-3$  

•  $f=\ 2x-3$  

•  $f\left(x\right)=2x-3$  

•  $f\left(x\right)=2x+3$  

How do you read  $f\ \left(x\right)$  ?

• f x 

• f parenthesis x

• f of x

• f with an x inside the parenthesis 

Translate the function notation into a coordinate point.  $f\left(-1\right)=5$  

•  $\left(-1,\ 5\right)$  

•  $\left(5,1\right)$  

•  $\left(1,\ 5\right)$  

•  $\left(-5,\ 1\right)$  

What is the "formula" for finding the axis of symmetry? 

•  $y=ax^2+bx+c$  
  

•  $y=mx+b$  
  

•  $x=\frac{-b}{2a}$  

•  $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$  

Given the function $f\left(x\right)=\ x+3$  

Evaluate  $f\left(-2\right)$  

•  $f\left(-2\right)=-1$  

•  $f\left(-2\right)=5$  

•  $f\left(-2\right)=-5$  

•  $f\left(-2\right)=1$  

Which of these represents slope-intercept form?

• $y-y_1=m\ \left(x-x_1\right)$

• $y=mx+b$

• $Ax+By=C$

What is the equation of the line?

•  $y=3x$  

•  $x=3$  

•  $y=3$  

•  $y=-3$  

Identify the slope and y-intercept  and zero of linear function:  $y=4x+5$  

• slope = - 4      y-intercept: 4       zero is x=0

• slope = 4       y-intercept: 5       zero is x= - 1.25

• slope = 5        y intercept: 5        zero is x= 1.25

• slope =(-5)        y intercept: -4           zero is x=5

 $y=x^2+7$  Is the function linear or nonlinear?

• linear

• nonlinear