Misc.
How do you find h from y = a(x-h)2+k?
Set x-h = 0
The vertex of: y = (x+1)2 + 2
What is (-1,2) ?
The equation for finding the x value of the vertex of a quadratic equation that is given in standard form.
What is: -b/2a
The vertical line that cuts through the center of a parabola.
axis of symmetry
Convert to vertex form: f(x) = x2 + 4x - 1
f(x) = (x + 2)2 - 5
How do you find h from y = a(x-h)2+k?
x = h
The vertex of: y = (x+3)2
What is (-3, 0)
The leading coefficient being negative means
There is a reflection across the x-axis
A type of function with the highest power of 2.
a quadratic equation
Convert to vertex form f(x) = -2x2 + 8x - 8
f(x) = -2(x - 2)2
Give the parent function for quadratic functions
f(x) = x2
Give the formula for vertex form
What is f(x) = a(x-h)2 + k
The axis of symmetry: y= -x2 + 2x + 1
x = 1
The highest point of the graph
Maximum
Convert to vertex form: f(x) = -2x2 + 4x - 9
f(x) = -2(x - 1)2 - 7
What is the domain of a quadratic function?
The transformations the graph: y = - 2 ( x+4 )2 - 1
reflected over x-axis, vertical stretch of 2, shifts left 4 units and shifts down 1 unit
Give the general form of standard form
What is f(x) = ax2 + bx + c
Name for the location where the parabola intersects the y-axis.
y-intercept
Convert to standard form: y = (x-1)2+4
y = x2-2x+5
What is the range of y = (x-1)2+4
[4, inf)
Write the equation for a parabola that makes the following translations: opens downward, shifts right 5 units and shifts upwards 8 units.
y = - (x-5 )2 + 8
The vertex of: y = 3x2 - 12x +4
(2, -8)
Four terms used to describe where a parabola crosses the x-axis.
zeros, solutions, roots, and x-intercepts
Convert to standard form: y = -(x-1)2+6
y = -x2+2x+5