Describe the Transformation
f(x) = x2 + 8
What is vertical shift up 8?
The quadratic function vertically shifted down 3.
What is g(x) = x2 - 3
NLI 1
What is (1, ∞) OR
1 < x < ∞
My x-values, independent variable, or values I get scanning graphs left to right.
What is Domain?
A simple or basic function in its family; the generic of the bunch.
What is a parent function?
f(x) = lx - 4l
What is horizontal shift right 4?
The absolute value function vertically shifted up 3 and horizontally shifted left 7
What is f(x) = lx + 7l + 3 ?
NLI 2
What is (-3, 1] OR
-3 < x ≤ 1
The _______ is the lowest point found on any type of graph
What is minimum?
This parent function can be written in three different forms: point-slope, standard, or slope-intercept form.
What is the Linear Equation?
f(x) = 1/2x3 - 5
What is vertical dilation (compression) by a factor of 1/2 and vertical shift down 5?
The cubic function reflected across the x-axis and translated down 5.
What is h(x) = -x3 - 5
NLI 3
What are all real numbers (R) OR
(-∞ , ∞)
Points that touch or appear on the y-axis.
What are y-intercepts?
This parent function's shape resembles a U - shape (or a parabola)
What is a quadratic function?
f(x) = -(x + 9)2 - 2
What is reflection across x-axis, horizontal shift left 9 and vertical shift down 2?
The exponential function (2x) vertically dilated by a factor of 1/3, horizontally shifted right 3, and vertically shifted up 4
What is f(x) = (1/3)2x-3 + 4 ?
NLI 4
What is (-∞ , -2] or (3, ∞) OR
x ≤ -2 or x > 3
The _______ ____ _____ helps check whether a picture of a graph is a function.
What is vertical line test?
This function does not have any negative values in its domain, with zero being its smallest range value.
What is the Square Root Function?
f(x) = -3lx - 5l - 6
What is reflection across x-axis, vertical dilation (stretch) by a factor of 3, horizontal shift right 5 and vertical shift down 6?
The absolute value function reflected across the x-axis, vertical dilated by a factor of 2, horizontally shifted left 3, and vertically shifted up 4.
What is g(x) = -2lx + 3l + 4
NLI 5
What is (-∞ , -1] or (2, ∞) OR
x ≤ -1 or x > 2
The ____ __ ________ contains the vertex for quadratic and absolute value functions and is usually a vertical line.
What is axis of symmetry?
The name of this parent function: f(x) = -50(13)-(x+0.3) + 17
What is the Exponential Function?