Vocabulary
What is the vertex?
The minimum or maximum of a parabola
What is equation to find the axis of symmetry?
x = -b / (2a)
Identify the a, b, and c in the quadratic function shown: y = -2x2 + 10x +1
a = -2, b = 10, c = 1
Explain whether or not it is quadratic: y= -3x +20
No because the highest exponent is not 2
Find the axis of symmetry for y =x2 + 3x +4
What is x=-1.5?
What is steps to finding the vertex of a parabola?
1. Find the x-coordinate of the vertex, find the axis of symmetry by using zeros or the formula. 2. To find the corresponding y-coordinate, substitute the x-coordinate of the vertex into the function. 3. Write the vertex as an ordered pair
Is the following function quadratic y= x3? Explain your answer.
No, because the highest exponent is 3. In order to be a quadratic function, the highest exponent must be 2
What is a parabola?
The u-shaped graph of a quadratic function.
Find the axis of symmetry for y = 5x2-10x+3
What is x=1
Identify (h, k) for y = 2x2 + 1
(0,1)
Graph find the value of f(x) for y = -x2 for the following x values: 3, 2, 1, 0, 1, 2, 3. Which way does the graph open (right side up or upside down)?
Upside down
What is the axis of symmetry?
A vertical line that divides a parabola into two symmetrical halves
What is the axis of symmetry of y=x2?
x=0
How many x-intercepts does the graph of y = x2 + 2x + 1 have? What is it/are they?
Only one, -1
Find the vertex of the following quadratic function y=-x2 - 2x
What is (-1, 1)?
Given the a function how can you tell whether it is quadratic?
If the highest exponent is 2
How is the axis of symmetry related to the vertex? And, what do we call the x-coordinate of the vertex?
The axis of symmetry is same value of x-coordinate in the vertex, h.
How many x-intercepts does the graph of y = 52 - 80 have? What is it/are they?
2, they are -4 and +4
Identify the a, b, and c in the quadratic function shown and state the axis of symmetry. y-3x2 +5 = -4x2+3
What is a =-1, b =0, c =3 and x =3