Vocabulary
The u-shaped graph shown by a quadratic.
What is a PARABOLA?
This is the formula for the axis of symmetry.
What is x = -b/2a ?
The vertex of y = x^2 is this ordered pair.
What is (0,0)?
Factoring solves for what
zeros
What does the x value of the vertex tell us?
How long/when the object is at the max/min height
The line that passes through the vertex and divides a parabola into two symmetric parts.
What is the AXIS OF SYMMETRY?
This is the axis of symmetry for the equation y = 2x^2 + 8x – 5.
What is x = -2?
Another name for vertex is
Turning point
What are the factors for:
y=x^2 + 3x − 4
(x+4)(x-1)
What does the y value of the vertex tell us?
Max/min height
The lowest or highest point on a parabola.
What is the VERTEX?
This is the axis of symmetry for y=3x^2+6x-2
What is x = -1?
The vertex of y = -4x^2 + 3 is this.
What is (0,3)?
Write in factored form:
y=2x^2 + 7x + 3
What does the y-intercept tell us?
How high the object started.
What are the 3 other names for x-intercepts?
zeros, roots, solutions
This is the axis of symmetry for y = -4x^2 + 3.
What is 0?
This point is the vertex of y = -3x^2 + 18x - 13.
What is (3,14)?
What are the solutions to:
6x^2 − 2x = 0
x=0
x= 1/3
Zeros tell us.....
When the object hits the ground
This is the standard form of a quadratic equation.
What is ax^2 + bx + c = 0 ?
This is the axis of symmetry for y = -2x^2 + 8x + 12.
What is x = 2?
The vertex of y = 2x^2 + 16x - 1 is this ordered pair.
What is (-4,-33)?
Write in factored form. Make sure to factor completely!
y=3x^2 - 6x - 45
y=3(x-5)(x+3)
For a typical basketball shot, the ball's height (in feet) will be a functions of time in flight (in seconds), modeled by the equation h(t)= -16t^2 + 40t + 6.
1) How high off the ground did the basketball start?
2) Assuming nobody touches the ball before it hits the floor, how long will it take to reach the maximum height of the shot?
3) What is the maximum height?
4) When will the ball hit the floor, if it missed the basket entirely?
1) 6 feet
2) 1.25 seconds
3) 31 feet
4) between 2-3 seconds (about 2.6)