Miscellaneous Quadratics
When an object is launched into the air and falls to the ground, it is referred to as this type of motion
What is a projectile motion
When this a value of a quadratic function is negative then the graph opens in this direction.
What is downward?
The set of all possible outputs of a function are referred to as this
What is Range
For the function f(x) = 2x - 5, this is the value of f(4).
What is f(4) = 3
This is the vertex of the function r(x) = 8(x - 3)2 + 4
What is (3, 4)
To accurately use the quadratic formula, the values are identified from this form of the function.
What is standard form, or f(x) = ax2 + bx + c
When the vertex of a quadratic function is (-2,-5) then this is the equation for the axis of symmetry.
A circle centered at the origin, with a radius of 5 has this as it domain.
What is [-5, 5]
When f(x) = x2 + 6, this is the value of f(-4).
What is 22
This is the name and value of the coordinate that can be read from the equation h(x) = 2x2 + 5x - 11.
What is the y-intercept at (0, - 11)
The roots of f(x) = (3x - 1)(4x + 5) are this
What are x = {-5/4, 1/3}
When the y-intercept is negative, and the vertex is above the x-axis, then this is the sign of the a value.
What is negative.
This would be the range for the function
g(x) = -3(x - 9)2 - 1
What is (-infinity, -1]
What is x = 15
This is the factored form of the equation x2 + 2x - 15
What is (x + 5)(x - 3)
What is 11rt 2 over 2
When the axis of symmetry is x = -3, and the function is f(x) = x2 + 2x - 1, then this is the coordinate of the vertex.
What is (-3, 2)
The range of a quadratic function is [-2, +infinity) and the axis of symmetry has a value of 3, then this is its equation in vertex form.
What is f(x) = (x - 3)2 - 2
When f(x) = 3x2 + 5 and g(x) = x - 2, this is the vertex of the function formed by f(g(x)).
What is (2, 5)
These are the roots of the function f(x) = 2x2+ 13x + 15
What are (-5, 0) and (-3/2, 0)
These are two alternative words that mean the x-intercepts of a quadratic function.
What are roots or zeros (solutions would be one as well)
This would be the range for the function f(x) + g(x) if f(x) = 2(x - 3)2 - 4
and
g(x) = 10
What is [6, + infinity)
When f(x) = 3(x + 5)2 + 5 and g(x) = -8 + 8(x + 5)2, then this would be the range of g(x) + f(x).
What is [-3, +infinity)
When f(x) = x2 + 3x, these are the values of x that makes f(x) = -2.
What are x = -2 and x = - 1
This would be the vertex of the function f(x) = -2(2x + 6)(x - 5)
What is (1, 64)