Quadratic Graphs
The shape of the graph of a quadratic function.
Parabola
Quadratic functions should always be set equal to...
Zero
On a graph, where would y=(4-x)(x+2) cross the x axis? Give coordinates.
At (-2,0) and (4,0)
The name of the line that divides a quadratic function exactly in half.
Line of symmetry
The zeros, the roots, or the solutions of a quadratic function.
X-intercepts (aka factors)
An equivalent expression to (x+2)(3x-3)
3x2 + 3x -6
The name of the point on a quadratic function that will be the maximum or minimum of the function.
Vertex
The domain of a quadratic function.
-∞ < x < ∞
A company models its net income with the function f(x)= 9x2 -54x -144, where x is the number of units of product sold. How many units of product does the company need to sell in order to make?
8
The value of "a" for a graph of a quadratic function opening downward.
Negative
1 and 12
What is the value of the positive zero of f(x)= x2-121?
11
How many zeros (x-intercepts) can a quadratic function have?
David has a rectangle and a right triangle. The length of the rectangle is 5 more than its width, w. The length of the shorter leg of the triangle is equal to the rectangle’s width. The length of the longer leg of the triangle is twice the length of the rectangle.
What is the combined area of the rectangle and the triangle?
2w2 +10w
What is the value of the smaller zero of the function f(x)= 2x2 -8x -24 ? No calculators!!!!
-2