Quadratics Basics
How do you know if a parabola opens up or down?
When a is positive, opens up
When a is negative, opens down
Identify the solution(s) to the following function
x^2+8x+16
What is (-4,0)
A u-shaped graph
What is a parabola
A rocket is launched vertically upward from ground level with an initial velocity of 128 feet per second, then its height "h" after "t" seconds is given by the equation: h(t)= -16t^2 + 128t (if air resistance is neglected).
How long will it take the rocket to return to the ground?
What is 8 seconds
What does the "c" value in your quadratic equation represents
What is the y-intercept or starting value
Identify the solution(s) to the following function:
x^2-121
What is (11,0) and (-11,0)
A rocket is launched vertically upward from ground level with an initial velocity of 128 feet per second, then its height "h" after "t" seconds is given by the equation: h(t)= -16t^2 + 128t (if air resistance is neglected).
After how many seconds will be rocket be at 112 feet above the ground?
What is 1 and 7 seconds.
Quadratics are ______ on both sides
What is symmetrical
Solve the following quadratic equation
x^2+8x+16
What is x=4
What is A in this equation?
x^2+x+2
What is 1
Roots, zeros, and solutions all mean the same thing as...
What is x-intercept?
A rocket is launched vertically upward from ground level with an initial velocity of 128 feet per second, then its height "h" after "t" seconds is given by the equation: h(t)= -16t^2 + 128t (if air resistance is neglected).
How long will it take the rocket to hit its maximum height? What is its maximum height?
What is 4 seconds and 256 feet.
Name a method to solve a quadratic equation.
*Hint: there are 2 different answers
What is graphing or factoring.
Evaluate the following quadratic equation
f(x)=x^2 - 4x - 5
g(x) = -x^2 + 4x + 4
f(g(3))
f(g(3)) = 16
What is b in this equation?
7x^2+76
What is 0
Equation for quadratic's parent function?
What is y = x^2
A diver is standing on a platform 24ft above the pool. He jumps from the platform with an initial upward velocity of 8ft/s. Use the formula: h(t)= -16t^2 + vt + s, where h is his height above the water, t is the time, v is his starting upward velocity, and s is his starting height.
How long will it take for him to hit the water?
1.5 seconds
When finding the vertex or the maximum/minimum, what equation can be used?
What is x = -b/2a
Put the following equations in order from widest to narrowest
I: 3x^2
II: (2/9)x^2
III: (8/3)x^2
IV: 7x^2
What is II, III, I, IV
You are trying to dunk a basketball. You need to jump 2.5 ft in the air to dunk the ball. The height that your feet are above the ground is given by the function h(t)= -16t^2 + 12t.
What is the max height your feet will be above the ground? Will you be able to dunk the basketball?
Max height= 2.25ft
No, you will not be able to dunk the ball.