Quadratic Graphs
Quadratic Functions I
Quadratic Functions II
Word Problems
100
How many zeros (x-intercepts) can a quadratic function have?
What is 2, 1, or none?
100
The coordinates of the y-intercept for the quadratic function:
y=-2x2 + 5x - 7
What is (0,-7)?
100
If the x-intercepts of a function are x = 6 and x=12, what is the Axis of Symmetry (x-value of the vertex)?
x = 9
100
What is the Standard Form equation for this quadratic function:
y = 0.5x2 + 0.5x -3
200
The shape of the graph of a quadratic function.
What is a parabola?
200
Find the zeros (x-intercepts) of the following:
y = x2 - 8x - 20
x = 10 and x = -2
200
The vertex for this quadratic function:
y = x2 - 8x - 3
What is (4, -19)?
200
What is the Standard Form quadratic equation for the parabola shown?
y = x2 + 4x + 3
300
The name of the line that divides a quadratic function exactly in half.
What is the axis of symmetry?
300
What are three methods to find the vertex of a quadratic function?
Completing the Square, midpoint of the x-intercepts, and the Axis of Symmetry equation
300
The coordinates of the y-intercept and x-intercepts for the quadratic function:
y=3x2 + 2x - 1
What is y-intercept (0, -1) and x-intercepts (-1, 0) (0.33, 0)?
300
The action of an ejection seat for the pilot of a small airplane is modelled by the equation y = -4.9x2 + 24x+ 3000, where the height, y, is in metres and the time, x, is in seconds. After what approximate length of time will the seat hit the ground if no parachute is engaged?
27.3 seconds
400
The name of the point on a quadratic function that will be the maximum or minimum of the function.
What is the vertex?
400
Find the vertex for the quadratic function:
y = x2 + 10x + 6
What is (-5, -19)
400
The y-intercept, x-intercepts, and vertex for this quadratic function:
y = -4.9x2 +16.4x + 1
What is the y-intercept (0, 1), the x-intercepts (-0.06, 0) (3.4, 0) and the vertex (1.7, 14.7)?
400
A water balloon is launched. Suppose the balloon has a height of y metres, x seconds after it is tossed, as defined by y = -5x2 + 12x + 1. What is the maximum height it reaches and when does that occur?
1.25 seconds, 8.19 metres
500
Where is the vertex in relation to the x-intercepts?
in the middle
500
The coordinates of the vertex for this quadratic function:
y = x2 - 4x + 8
What is (2, 4)?
500
The y-intercept, x-intercepts, and vertex for:
y = -5x2 +10x + 2
y-intercept: (0, 2)
x-intercepts: (-0.18, 0) (2.18, 0)
vertex: (1, 7)
500
You own a clothing store and you have been wondering if you can apply the maximizing total revenue concept in your business to make more money selling jeans. When you set your price for $36, you sell average of 200 pairs a week. After doing a mini survey, you find out that for each $2 increase in price, the demand for jeans is less and 5 fewer pants are sold. What price maximizes your revenue? What is the maximum revenue?
increase the price 11 times to $58
maximum revenue = $8,410