Projectile Motion
An object is launched in the air with the height in feet, h, in terms of time, t, in seconds:
h(t) = -20t2 + 15t + 10
What is the launch height of the object?
10 feet
Given the function f(x) = (x + 2)(x - 4)
What must f(x) equal to find the x-intercepts?
f(x) must equal 0
Given the function f(x) = -2(x + 4)2 + 5
What is the coordinate of the vertex?
(-4, 5)
Write the following expression in factored form:
x2 - 2x
x(x - 2)
If ax2 + bx + c is a perfect square, and a=1,
then what does c equal?
(b/2)2
An object is launched in the air with the height in feet, h, in terms of time, t, in seconds:
h(t) = -20t2 + 15t + 10
What does -20t2 represent?
The fall of gravity.
Given the function f(x) = (x + 2)(x - 4)
Name both x-intercepts?
x = {-2, 4}
Given the function f(x) = -2(x + 4)2 + 5
Does the parabola have a maximum or minimum?
Maximum
Write the following expression in factored form:
4x2 - 36
(2x - 6)(2x + 6)
Write the following expression in standard form:
(x - 10)2
x2 - 20x + 100
An object is launched in the air with the height in feet, h, in terms of time, t, in seconds:
h(t) = -20t2 + 15t + 10
What is the initial velocity?
15 feet per second
Given the function f(x) = (x - 2)(2x - 6)
Name both x-intercepts?
x= {2, 3}
Given the function f(x) = -2(x + 4)2 + 5
Describe the translation from the origin (0, 0), from the parent function f(x) = x2.
Up 5 and to the left 4
Write the following expression in factored form:
x2 + 10x - 24
(x - 2)(x + 12)
Given the expression x2 + 16x + 4
What value needs to be added to make the expression a perfect square?
60
An object is launched in the air with the height in feet, h, in terms of time, t, in seconds:
h(t) = -20t2 + 15t + 10
What happens when h(t) = 0?
The object hits the ground.
Given the function f(x) = (x + 2)(x - 4)
What is the x-coordinate of the vertex?
x = 1
Given the function f(x) = -2(x + 4)2 + 5
Find the coordinate of the y-intercept.
(0, 5)
Write the following expression in factored form:
2x2 - 12x + 16
2(x - 4)(x - 2)
Given the expression: 4x2 - 12x + 9
What is the factored form?
(2x - 3)2
An object is launched in the air with the height in feet, h, in terms of time, t, in seconds:
h(t) = -20t2 + 15t + 10
What is the value of h(0)?
10
Given the function f(x) = (x + 2)(x - 4)
What is the coordinate of the y-intercept?
(0, -8)
Given the function f(x) = -2(x + 4)2 + 5
If (0, 5) is a point on the parabola, what is the coordinate of its reflection on the parabola?
(-8, 5)
Write the following expression in factored form:
x2 - 26x + 169
(x - 13)2
Solve the equation by completing the square:
x2 +16x - 5 = 12
x={-17, 1}