Quadratic Equations (forms)

Which is standard form?

• $f\left(x\right)\ =\ ax^2+bx+c$

• $f\left(x\right)\ =\ a\left(x-h\right)^2+\ k$

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

• y = mx + b

Which is vertex form?

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

• $f\left(x\right)\ =\ a\left(x-h\right)^2+k$

• $f\left(x\right)\ =\ ax^2+bx+c$

• $f\left(x\right)\ =\ abcdefg$

Which is intercept form?

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

• $f\left(x\right)=ax^2+bx+c$

• $f\left(x\right)=a\left(x-h\right)^2+k$

• love

What does c stand for in the following equation:

 $f\left(x\right)=ax^2+bx+c$  

• x intercept

• y intercept

• vertex

• axis of symmetry

What does h stand for in the following function:

 $f\left(x\right)=a\left(x-h\right)^2+k$  

• x intercept

• y intercept

• axis of symmetry

• both x and y coordinates of the vertex

How do you find the vertex if your equation is in vertex form?

 $f\left(x\right)=a\left(x-h\right)^2+k$  

• h is the x value, k is the y value

• k is the x value, h is the y value

• (a,h) is the vertex

• (k,a) is the vertex

What is the vertex of the following function?

 $f\left(x\right)=\ 2\left(x-5\right)^2+\ 3$  

• (5,3)

• (-5,3)

• (5,-3)

• (-5,-3)

What is the y intercept of the following fucntion?

 $f\left(x\right)\ =x^{2\ }+\ 3x\ -10$  

• 10
  

• -10

• 3

• -3

What formula do we use to find the axis of symmetry of a function in STANDARD FORM?

 $f\left(x\right)=ax^2+bx+c$  

•  $\frac{\left(p+q\right)}{2}$  

•  $a^2+b^2=c^2$  

•  $-\frac{b}{2a}$  

•  $\frac{h}{3}$  

How do we find the axis of symmetry of a function that is written in vertex form?

 $f\left(x\right)=a\left(x-h\right)^2+k$  

• The axis of symmetry is x = h

• The axis of symmetry is x = k

• The axis of symmetry is x = -h

•  $-\frac{b}{2a}$