Graphing Fundamentals
The graph of a quadratic function
What is a parabola?
y=X^2+4x+8 opens
(up or down)
What is upward?
The formula for the Axis of Symmetry
What is x=-b/2a ?
The formula for the area A of a triangle with base length b and height h is as follows: A=1/2bh.
Suppose the base length of the triangle is 4 units shorter than the height. Rewrite A in terms of h only.
What is 1/2h^2 - 2h ?
The axis of symmetry
What is the line that splits the parabola into congruent halves? (x=h)
y=-x^2+10x-22 opens
What is downward?
The formula for the vertex
What is (-b/2a, f(-b/2a)) ?
The formula for the volume of a cylinder with radius and height is as follows: V=(pi)r^2 h
Suppose the radius of the cylinder is 7 times the height. Rewrite V in terms of h only.
What is V=49(pi)h^3 ?
Axis of symmetry formula
What is x=-b/2a ?
y= x^2+4x+8 has a __ value
(maximum or minimum)
What is minimum?
y=X^2+4x+8 has an Axis of symmetry of
What is x=-2?
(x-value of your vertex)
The formula for the perimeter P of a rectangle with length l and width w is as follows.
P=2l+2w
Suppose the length of the rectangle is 7 units longer than the width. Rewrite P in terms of w only.
What is P=4w+14 ?
Vertex formula
What is(-b/2a, f(-b/2a)) ? (h,k)
y=-x^2+10x-22 has a __ value
(maximum or minimum)
What is maximum?
The vertex for y = -3(x+4)^2 -1
What is (-4,-1) ?
Vertex form
What is y = a(x-h) + k ?
y=X^2+4x+8 has a domain of
What is (-infinity , +infinity)?
the vertex for x^2 -6x + 4
What is (3,-5) ?