Characteristics of Quadratic Equations

Determine the values of a, b, and c for the quadratic equation: 
 $y=4x^2-8x-3$  

• a = 4

  b = -8

  c = 3

• a = 4

  b =-8

  c =-3

• a = 4

  b = 8

  c = 3

• a = 4

  b = 8

  c = -3

The equation for the axis of symmetry line is 

 $x=\frac{-a}{2b}$  

•  $x=-\frac{a}{2b}$  

•  $x=-\frac{b}{2c}$  
  

•  $x=-\frac{b}{2a}$  

•  $x=-\frac{a}{2c}$  

What is the y-intercept for the equation: $y=\ 2x^2-4x+4$  

• (0,2)

• (0,4)

• (0,-4)

• (0,-2)

Find the axis of symmetry of  $y=-2x^2-16x+3$  

•  $x=4$  

•  $x=8$  

•  $x=-4$  

•  $x=-8$  

What direction is the following parabola opening?
 $y=-3x^2-7x+8$  

• Opens up, because the constant is positive.

• Opens down, because the leading coefficient is negative.

• Opens up, because the leading coefficient is negative.
  

• Opens down, because the constant is positive. 

What is the y intercept for the equation:
 $y=-8x^2+3x-7$  

• (0, -8)

• (0, 3)

• (-8, -7)

• (0, -7)

Find the axis of symmetry for

 $f\left(x\right)=x^2-8x+15$  

• x = -4

• x = 4

• y = 4

• y = -4

What is the x-coordinate of the vertex of the parabola whose equation is:

 $f\left(x\right)=-x^2-4x+12$  

• (-2, 16)

• (2, 0)

• (2, 4)

• (-2, 4)

Which of these graphs best match the following equation? $y=x^2+2x-4$  

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Which of these graphs best match the following equation?  $y=4x^2-3x-7$  

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