Quadratic Equation
The shape of the graph of a quadratic function.
What is a parabola?
The generic equation of a quadratic in vertex form.
What is
y = a(x − h)^2 + k?
The part of the graph that represents the time or distance at which the object reaches maximum height.
What is the x-coordinate of the vertex?
The y-intercept of the graph
y = x^2 − 4x + 11.
What is (0,11)?
c in the standard form of a quadratic equation.
What is the y-intercept?
The part of the graph that represents the time or distance at which the object hits the ground.
What are the x-intercepts?
The vertex of the graph
y = 1/2(x − 1)^2 − 7.
What is (1, -7)?
The name of this "stripped down" version of a quadratic function:
f(x) = x^2.
What is the parent function of a quadratic?
The equation of the axis of symmetry of the graph of a quadratic in standard form.
What is x=-b/2a?
The part of the graph that represents maximum height of the object.
What is the y-coordinate of the vertex?
How to find the y-intercept of any function.
What is f(0)?
Given
y = (x + 3)^2 + 5,
find f(-1).
What is 9?
A man is launched from a cannon atop a 74 foot tower. The height of the man, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find out the time at which the man will reach max height, to the nearest 100th of a second.
y=-16x^2+152x+74
What is 4.75 seconds?
The y-intercept of the graph
y = -2(x+3)^2 +8.
What is (0,-10)?
The vertex of
y = -2x^2 + 4x − 3.
What is (1, -1)?
The vertex of the graph
y = (x + 3)^2 + 5.
What is (-3, 5)?
A ball of glitter is thrown upward from the top of a 128 ft cliff with an initial velocity of 112 feet per second. Its height (h) after t seconds is:
h = -16t^2 +112t +128.
Determine when the glitter ball will hit the ground and make a beautiful mess.
What is 8 seconds?
Vertex of the graph
y = -1/3x^2 + 6x − 2.
What is (9, 25)?