Function Fundamentals
This term refers to the set of all possible x-values (input) for a relation.
What is the domain?
This is the expanded and simplified form of (2x - 3)2
What is 4x2 - 12x + 9
This is the vertex of the parabola defined by
y = -5(x + 8)2 + 12
What is (-8, 12)?
These are the zeros for the equation 0 = 2x(x - 9).
What are 0 and 9?
A parabola is vertically compressed by a factor of 1/2, reflected in the x-axis, and moved 4 units right. This is its equation.
What is y = -1/2(x - 4)2?
To determine if a graph is a function, we use this test to see if any x-value has more than one y-value
What is the Vertical Line Test
This is the fully factored form of 3x2 - 30x + 75
What is 3(x-5)2
For a parabola with zeros at x=2 and x=10, this is the x-coordinate of the vertex.
What is 6?
This is the number of real roots for $y = 3x2 + 2x + 5 based on the discriminant, b2 - 4ac.
What is zero (or none)?
This is the equation of a parabola that has an axis of symmetry at x = -3, a minimum value of -2, and a y-intercept of 7.
What is y = (x + 3)2- 2?
If f(x) = 3x - 7, this is the value of x that results in f(x) = 8.
5
This is the result of factoring 16x2 - 81.
What is (4x-9)(4x+9)?
If a parabola has a vertex at (h, k) and is translated 3 units left and 5 units up, this is the new coordinate for h.
What is h =- 3?
Using the quadratic formula, these are the solutions to x2 - 6x + 8 = 0.
What are 4 and 2?
This is the y-intercept of the function f(x) = -3(x + 2)2+ 15.
What is 3?
Given f(x) = 2x2 - 4x + 1, find f(-2).
17
This is the fully factored form of 6x2 - x - 2
What is (2x+1)(3x-2)
This is the equation in vertex form of a parabola with vertex (2, -3) that passes through (4, 5).
What is y = 2(x - 2)2 - 3?
A rectangle's length is 2m more than its width. If the area is 48 m2, this is the width.
What is 6m?
A flare's path is h(t) = -5t2+ 20t + 1. This is the maximum height reached.
What is 21 meters?
For g(x) = 2x2 + 1, this is the range of the function.
yER|y>=1
To factor x2 + bx + 36 as a perfect square trinomial where b > 0, this must be the value of b.
What is 12
This is the vertex of the parabola defined by
y = -2x2 + 12x - 5.
What is (3, 13)?
A ball is thrown; its height is h(t) = -5(t-2)2 + 22. This is the height of the ball at the moment it was released?
What is 2 meters?
A flare's path is h(t) = -5t2+ 20t + 1. This is the time it hits the ground.
4.05 seconds