Vocabulary
What is the vertex of x2-8x+17?
(4, 1)
Write the equation of vertical motion for the situation with an initial velocity of 32 ft/sec and initial height of 20 feet.
f(x) = -16t2 + 32t + 20
What are the x-intercepts of f(x)=(x-2)(x+6)
x=2 x=-6
What do we call the highest or lowest point on a parabola?
Vertex
What is the vertex of -x2-2x-2?
(-1, -1)
How many seconds will it take an object thrown with a velocity of 32 ft/sec at a height of 20 feet to reach its maximum height?
1 second
What are the x-intercepts of f(x)=(3x+9)(2x-5)
x=-3 x=5/2 or 2.5
What is the vertex of -x2+6x-8?
(3,1)
A man throws a ball into the air, releasing it from a height of exactly 7 feet with an initial velocity of 54 feet per second. What is the maximum height of the ball?
Around 53 feet
Use factoring to solve the quadratic. m2 + 3m - 40 =0
m=-8 m=5
What is the point where the parabola crosses the y-axis?
The y-intercept
What is the maximum height of -2x2-16x-31?
(-4,1)
A girl flips a coin into a wishing well. If she flips the coin upwards with an initial velocity of 5 ft/s and from a height of 5 feet above the ground, how high did the coin go?
5.4 feet
Use factoring to find the solutions of y=x2 - x - 2
x=2 x=-1
What are the solutions, roots, and zeros called?
X-intercepts
What is the vertex of -3x2+6x?
(1,3)
While throwing a temper tantrum, an angry toddler standing on a chair screams and throws his ice cream cone into the air from 5 feet above the ground with an initial vertical velocity of 30 feet per second. How high does the ice cream cone get?
About 19 feet
Solve to find the solutions of 5x - 35= - x2 + 3x
x=-7 and x=5