Quadratics General
Quadratics General 2
Standard Form
Vertex Form
Word Problems + More
100
Which of the following are quadratics: y=x+2, y=3-x2, y=x3 + x2, and y = 7 + 2x
What is y=3-x2
100
What is the AOS of a quadratic FUNction with points (3,-2) and (10,-2)? (Hint: Sketch the parabola with those two points)
x = 6.5
100
Find the vertex of y = x2 - 3
Vertex (0,-3)
100
Find the vertex of y=3(x-4)2 - 7 and describe the transformations.
What is (4,-7). Transformations are Right 4, Down 7, and Vertical Stretch
100
How long is the soccer ball in the air and what is the vertex of the ball? (Hint: x-axis is time and y-axis is height)
What is 9 seconds and the vertex is approximately (2.5,6)
200
Find the axis of symmetry, vertex, and determine if the quadratic is a max or min. 
What is AOS: x=4, Vertex: (4,2), and the quadratic is a max
200
If the vertex of a quadratic is (3,-4), which of the following combinations are possible x-intercepts:
A) 2 and 4, B) -2 and -6, C) 0 and 6, D) 2.5 and 5.5
What is A and C (Think symmetry. The x-intercepts have to be the same distance to vertex)
200
Find the axis of symmetry for y = x2 - 8x + 10
What is AOS x=4
200
Graph y = 2(x+3)2 - 2
200
The International Space Agency has finally landed a robotic explorer on an extra-solar planet. Some probes are extended from the lander's body to conduct various tests. To demonstrate the crushing weight of gravity on this planet, the lander's camera is aimed at a probe's ground-level ejection port, and the port launches a baseball directly upwards with a path of h(t) = -49t2 +147t. Assuming no winds and that the probe can scurry out of the way in time, how long will it take for the ball to smack back into the surface and find the max height of the ball? Time is in seconds and height is in feet. (Hint: Graph the function)
What is the ball takes 3 seconds to return to the surface and the max height of the ball is 110.25 ft.
300
Find the domain and range. (Assume the curve continues beyond the graph)
What is Domain: -∞ < x < ∞ or All Real Numbers, Range: y≤2
300
Which of the following have a range of f(x)≤-3:
-x2+4x-7, -x2+6x-10, -2(x-1)2-3, -2(x-3)2-1
What is -2(x-1)2-3 and -x2+4x-7
300
Find the axis of symmetry, vertex, and determine if it is a max or min. y = 2x2 + 10x - 3
What is AOS x=-2.5, Vertex (-2.5,-15.5), and the quadratic is a min
300
The point (3,72) is on the parabola y=ax2. Find the value of a?
What is a=8
300
Write the quadratic function in vertex form given the following table:
What is f(x) = -(x+3)2 + 8
400
Find the range of y=x2 - 5 (Hint: Graph the function)
What is Range: y≥-5
400
Solve the equation by graphing and finding its' zeros: -x2=4x-5
What is (-5,0) and (1,0)
400
Given the vertex (0,-4) and the following point (1,3) on the parabola, write the equation of the parabola in vertex form.
What is y=7x2 - 4
400
Write the quadratic equation in vertex form for the following graph and state the domain and range in inequality notation:
What is y=-2(x-3)2+4, Domain: -∞<x<∞, Range: y ≤ 4
500
Find the vertex of
-3/2x^2+6x-2/3
What is (2,16/3) or (2,5 1/3)