Algaebra 2

What is the definition of a parabola?

A set of points equidistant from a fixed point and a fixed line.

What is the general form of a quadratic in vertex form?

y=a(x-h)²+k

How does a parabola open based on a?

opens up if a>0, opens down if a<0

How does the width compare to the parent function?

Wider if a is between 0 and 1, narrower if a>1

What is the vertex of the parabola?

(h,k)

What is the horizontal shift?

h units

What is the vertical shift 

k units

What is the axis of symmetry?

x=h

How do you find the y-intercept?

Plug in x=0 and substitute to find y

What is the maximum or minimum point?

The highest or lowest point (the vertex).

What is the value of the max/min?

k

What is the domain of a quadratic function?

All real numbers (values limited otherwise).

What is the range of a quadratic function

y is greater than or equal to k I f a is greater than 0; y is less than or equal to k if a is less than 0

What are real solutions

x-intercepts, roots, zeros.

What is the focus point

a fixed point (h,k +p)

what is the directix

y=k-p

what does p equal

p=1 divided by 4(a)