22 terms

What is the Quadratic Equation (in Vertex Form)?

y=a(x-h)²+k

when would radicals be simplified?

If no radical has a perfect square factor other than 1

What is a vertex?

The lowest or highest point of the parabola

What is the Axis/Line of Symmetry?

A line that divides the parabola into mirror images and passes through the vertex

What is the vertex of a parabola?

(h,k)

Using y=a(x-h)²+k , if a<0, does the quadratic have a maximum or minimum value?

Maximum

Using y=a(x-h)²+k , if a>0, does the quadratic have a maximum or minimum value?

Minimum

In the quadratic function, -2(x - 4)² + 8, would the axis of symmetry be 4 or -4?

4

Tell whether the following quadratic has a maximum or minimum value, then find that value. f(x) = -1/4(x - 102)^2 + 52

Maximum value of 52

When would the quadratic function be narrower than the parent function?

When a>1

When would the quadratic function be wider than the parent function?

When a<1

How do you recognize the minimum or maximum value in the formula: y=a(x-h)² +k

Look at the K value from the formula y=a(x-h)² +k

If a>0, the parabola opens ____.

up

if a<0 then the curve will face

down

If the "a" in a(x-h)^2+k is a positive number, will the quadratic have a minimum or maximum value?

A minimum number.

Which variable represents the minimum/maximum value?

K

What is a parabola?

A rounded line that curves around a vertex

By moving the "h" variable in vertex form, what is happening to the vertex?

The vertex is moved to either the left or the right.

In the Quadratic Equation, y=a(x-h)²+k, what two variables represent the vertex?

h and k

What is the shortcut for graphing called?

1-3-5 Graphing Shortcut

What kind of graph is it?

parabola

On what type of parabola would there be a maximum value?

A parabola that opens downward.