Key Features of Quadratic Functions
This is how the graph of the function g(x) = 1.5x2 compares with the graph of f(x) = x2.
What is the graph of g(x) = 1.5x2 is narrower?
This is the vertex form of a quadratic function.
What is f(x) = a(x - h)2 + k?
This is the standard form of a quadratic function.
What is f(x) = ax2 + bx + c where a does not equal zero?
This is the formula for finding the area of a rectangle.
What is A = l x w?
This is how the graph of the function h(x) = -9x2 compares to the graph of f(x) = x2.
What is the graph of h(x) = -9x2 is narrower and opens downward?
This is the vertex and axis of symmetry for the graph of the function h(x) = (x - 5)2 - 2.
What is (5, -2) and x = 5?
A ball is tossed into the air. The function f(x) = -16x2 + 4x + 5 represents the height in feet of the ball x seconds after it is thrown. This is the height the ball was tossed into the air.
What is the ball was tossed at 5 feet?
This is the quadratic function that represents the area of this rectangle.
See teacher.
What is f(x) = 2x2 + 9x - 5?
This is how you know that the graph of a quadratic function f(x) = ax2 has a minimum value.
What is if a is greater than 0.
This is the vertex and axis of symmetry for the graph of the function g(x) = (x + 8)2 + 1.
What is (-8, 1) and x = -8?
This is the y-intercept, axis of symmetry and vertex for the graph of the function g(x) = - x2 + 4x + 5.
What is 5, x = 2 and (2,9)?
This is the quadratic function that represents the area of this rectangle.
See teacher
What is f(x) = 2x2 - x - 3?
This part of the graph of a quadratic function is represented by the equation x = - b/2a.
What is the axis of symmetry?
This is the y-intercept for the graph of the function f(x) = (x + 1)2 - 1.
What is 0?
This is the y-intercept, axis of symmetry and vertex for the graph of the function h(x) = -3x2 + 7x + 1.
What is 1, x = 7/6 and (7/6, 61/21)?
John launches an emergency flare into the air. The function h(t) = -16t2 + 64t + 6 represents the height of the flare after t seconds. The flare must reach a height of 100 feet to be seen by a rescue team. Is John's launch successful?
The flare will reach a maximum height of 70ft, so John's launch is not successful.