Quadratic Equations

Question 1

What is the equation for a quadratic function?

Answer 1

y=a(x-p)^2+q

Question 2

The exponent of x is always ____.

Answer 2

Squared

Question 3

What is the shape of graph if a is positive (1) or negative(2)?

Answer 3

Concave up 
Concave down (Convex)

Question 4

As the positive value of a _____, the arms get closer to the __-axis.
As the negative value of a _____, the arms get closer to the __-axis.

Answer 4

Increases

Decreases

Question 5

What happens if q is positive (1) or negative (1)?

Answer 5

Graph shifts q units upwards.

Graph shifts q units downwards.

Question 6

How can the y intercept also be determined?

Answer 6

Letting x = 0

Question 7

What value does q if a is positive (1) or negative(2)?

Answer 7

Minimum

Maximum

Question 8

How can the x-intercepts be determined?

Answer 8

Letting y=0

Question 9

What is the equation for the axis of symmetry?

Answer 9

X=0

Question 10

If a > 0 then the graph of the parabola _____ for all x < 0 and ______ for all x > 0.

Answer 10

Decreases

Increases

Question 11

If a < 0 then the graph ________ for all x < 0 and _______ for all x > 0.

Answer 11

Increases

Decreases

Question 12

Domain and Range (2) for a quadratic function:

Answer 12

X = (-8;8)
Y=[q;-8) if a > 0
Y= (-8;q] if a < 0