The turning/inflection point of a quadratic function is called the...
Vertex
100
Tell whether it is quadratic. Explain
y= -3x +20
No because the highest exponent is not 2
200
What is the standard form of a quadratic function?
y=ax^2+ bx+c
200
Find the axis of symmetry y =x^2 + 3x +4
What is x=-1.5?
200
What is steps to finding the vertex of a parabola?
1. LOS: x = -b/2a
2. Plug in x, find y
200
Is the following function quadratic
y= x^3
Explain
No because the highest exponent is 3. In order to be quadratic the highest exponent must be 2
300
What is a parabola?
The u shaped graph of a quadratic function
300
Find the axis of symmetry 5x^2-10x+3
What is x=1
300
Find the vertex
y=-x^2-2x
(-1, 1)
300
For y=ax^2 + bx + c, if a is positive which way does the parabola open?
Up
400
What is the axis of symmetry
A vertical line that divides a parabola into two symmetrical halves
400
x=0
What is the axis of symmetry of y=x^2?
400
Find the vertex of the graph y=x^2 - 4x-10.
What is (2, -14)?
400
For y=ax^2 + bx + c, if a is negative which way does the parabola open?
Down
500
Given the a function how can you tell whether it is qUadratic?
If the highest exponent is 2
500
How is the axis of symmetry related to the vertex?
The axis of symmetry is same value of x-coordinate in the vertex
500
The height in feet above the ground of an arrow after it is shot can be modeled by y=-16t^2+ 63t+4. Can the arrow pass over a tree that is 68 feet tall? Explain.
What is no; the highest the arrow will go is about 66 feet.
500
Identify the a, b, and c in the quadratic function below and state the axis of symmetry.
y-3x^2 +5 = -4x^2+3