x-intercept
y-intercept
Vertex / Axis of symmetry
Shapes of graphs
100
What is the y value of the x-intercepts of a parabola?
0
100
In standard form, y = ax2 + bx + c, which letter reveals the value of the graph's y-intercept?
c
100
What is the format for the equation of an axis of symmetry?
x = ______
(it's a vertical line!)
100
If a parabola has an a-value of 15, what direction does it point?
Up
200
How many x-intercepts does the graph of y = x2 have?
1, at (0,0)
200
What is x value of the y-intercept of any graph?
0
200
How can you tell if a vertex is a maximum or a minimum (from the equation)?
If a is positive, vertex is a minimum
If a is negative, vertex is a maximum
200
What range of a-values results in a parabola opening down?
Less than zero a<0 (negative values)
300
What are the x intercepts of y = (x-4)(x+3)
4 and -3
300
What is the y-intercept of the following function?
f(x)= 2x2 + 12x + 20.
(0,20)
300
What is the name of this form of a parabola
y = (X+2)(X+3)
Factored
300
T or F: If a player throws a ball from shoulder height, the y intercept will be 0.
False
400
What are the zeros of the following equation:
f(x) = x2 - 4
(-2,0) and (2,0)
400
What is the y-intercept for a parabola with the vertex (0,5).
What is (0,5)?
400
Find the axis of symmetry and vertex of the following function:
y = (x-2)(x-4)
Vertex: (3, -1)
Axis: x = 3
400
Which graph has a larger y-intercept?
f(x) = 65x2
g(x) = 6.5x2 + 1
g(x)
500
What are the solutions to the parabola graphed below?
There aren't any!!!
500
What is the y-intercept of the following parabola?
f(x) = (2x-3)(5x+2)?
(hint: what should you set x to?)
(0,-6)?
500
What is the vertex and axis of symmetry of the following function?
y= x2 + 12x + 32
Vertex: (-6, -4)
Axis: x = -6
500
In the quadratic formula, what's the name for the value of b2 - 4ac?
Discriminant