Review
Factor 4x^2+12x
Every quadratic equation has a U-shaped graph called this.
What is parabola?
Name the vertex y= (x-3)^2 +4
What is (3,4)?
Graph the equation. Must include vertex, and at least one point on each side. y=(x-5)(x-1)
Vertex (3,-4)
Y-intercept (0,5)
the height h in feet of a small rocket t seconds after it is launched.The path of the rocket is given by the equation: h = -16t^2 + 128t. What is the greatest height the rocket reaches?
Solve (x-2)(x+6)
The highest or lowest point on a parabola.
What is the vertex?
The vertex of y= (x+1)^2 - 8
What is (-1, -8)?
Graph the equation. Must include vertex, and at least one point on each side. y = (x+2)(x-2)
Vertex (0,-4)
X-intercepts (2,0) (-2,0)
The height h in feet of a small rocket t seconds after it is launched. The path of the rocket is given by the equation: h = -16t2 + 128t. Express the interval over which the graph is increasing.
Factor x^2+3x-4
When a quadratic equation is written in this form y = ax^2 +bx + c
What is the standard form?
The vertex of y=(x+4)(x-4)
What is (0,-16)?
Graph the equation. Must include vertex, and at least one point on each side. y=(x+1)^2 - 2
Vertex (-1,-2)
y-intercept (0,-1)
Melissa graphed the equation y = x^2 and Dave graphed the equation y = -3x^ 2 on the same coordinate grid. What is the relationship between the graphs that Melissa and Dave drew?
This is the number before the x^2 that determines whether a parabola opens up or down.
What is the leading coefficient?
Name the vertex x^2 - 4x - 5 = 0
What is (2,-9)?
Graph the equation. Must include vertex, and at least one point on each side. y=(x-4)^2 + 3
Vertex (4,3)
Other points (2,7) and (6,7)
The graph of a parabola is represented by the equation y = ax^2 where a is
a positive integer. What happens to the new parabola if a is multiplied by 2?
The line that runs through the vertex and divides the parabola in half.
What is axis of symmetry?
Name the vertex 2x^2 + 4x - 6 = 0?
What is (-1,-8)?
Graph the equation. Must include vertex, and at least one point on each side. y=-x^2 -6x + 1 = 0
Vertex (-3,10)
y-intercept (0,1)
A water balloon is catapulted into the air so that its height h, in meters, after t seconds is h = -4.9t^2 + 27t + 2.4. What is the maximum height of the balloon rounded to the nearest meter?