Vocabulary
The shape of a quadratic function is called this
What is a Parabola?
What is the vertex for GRAPH A?
(1, 2)
What is the domain of every quadratic function?
all real numbers or (-infinity, +infinity)
f(x) = x3 + x2 -8x
No, because there is x3
The line that cuts a parabola in half
What is the axis of symmetry?
Explain what the vertex represents for GRAPH B?
The object reached the maximum height of 118 meters after 4.8 seconds.
Identify the range of GRAPH E.
y greater than or = to 4
or [4 , infinity)
Is the following a quadratic function? Explain why.
f(x) = 2x - 4x2
Yes, because the highest exponent is 2.
The highest or lowest point of a quadratic function.
What is a vertex?
What is the axis of symmetry for GRAPH C?
x = 5
Identify the range GRAPH F.
y is less than or equal to 1
or (-infinity, 1]
Evaluate the function below for f(-3).
f(x) = -2x^2+3x+10
What type of function has a highest power of 2?
A quadratic function
What is the axis of symmetry for GRAPH D?
x = 2
If the vertex of a quadratic function is located at (4, -3) and the range is y greater than or equal to -3, is the graph opening up or down?
up
What is the difference between a quadratic function and a linear function?
A quadratic function is a u shape while a linear function is a straight line.
What are two other names for the x-intercepts on a quadratic function?
roots
zeroes
If you know the vertex of a parabola, you also know the what?
axis of symmetry and min or max
If a quadratic function is opening down and the vertex is located at (-2, -9), what is the range of the function?
y is less than or equal to -9
or
(-infinity, -9]
What is the standard form of a quadratic function?
f(x) = ax2 + bx + c