alg 2 per 4
x-intercept
Definition: Example: (4,0)
(h,k)
Definition: Example: (h, k) is the vertex of the parabola, and x = h is the axis of symmetry. the h represents a horizontal shift (how far left, or right, the graph has shifted from x = 0). the k represents a vertical shift (how far up, or down, the graph has shifted from y = 0).
range
Definition: Example: -1 < y <= 2 This is an example of a range where a graph has no y value less than or equal to -1 and no y value greater than 2.
parameter
Definition: Example: A parameter is any variable that affects the outcome of the graph.
parent graph
Definition: Example: A parent graph is the most simplest form of the graph where there is nothing modified about it. The locator point for a parent graph, 'h' and 'k', is always (0,0) and a=1.
translation
Definition: Example: A translation on any sort of graph is where you move a graph to a different position. When you do a translation, you move the "entire" graph (as far as you can see on the screen) to any selected location. If your graph is in vertex form, (h,k) is the number of units you move your graph, h being x and k being y movement. In this case, The red one is moved 2 units up and 4 units to the right to make the light blue one.
function
Definition: Example: An equation where, for each input value (x), there is only one output value (y)
variable
Definition: Example: An unknown number that could have any value for example in the equation: x = 5 + 7, x is the variable
graphing form
Definition: Example: Graphing form is a form of a quadratic equation that makes graphing easier because of the h,k. y = a(x-h)^2+k
horizontal shift
Definition: Example: Horizontal shift is how far a graph is shifted horizontally from its parent graph
domain
Definition: Example: The description of all possible values for x in an equation
locator point
Definition: Example: The locator point represents the point where the (h and k) reside of the graph. While also used to move an equation and make it into a graph.
y-intercept
Definition: Example: The place on a graph where the y component of the equation equals 0. Compare to "x-intercept". A graph may have more than one y-intercept. It can be found by taking a equation, such as y=2x+3, and making y equal 0, like this: 0=2x+3.
stretch factor
Definition: Example: The stretch factor is "a" in a(x-h)^2 +k when a is greater than 1. 2(x-2)^2 -1 in this example 2 is the stretch factor. In this case, the red one is the less vertically stretched one, and the blue one is the more vertically stretched one.
vertex form
Definition: Example: Vertex form (or graphing form) : y=a(x-h)^2+k shows the locator point location( h,k) as well as tells us if the equation is being expanded/compressed (a), moved to the left/right(h), or up/down(k).
vertical shift
Definition: Example: When the line of a graph moves to another location along the y-axis
standard form of a quadratic
Definition: Example: Y=ax^2+bx+c
general equation
Definition: Example: f(x) = 7x+0 A general equation is a equation that fulfills the requirements for a equation.
compress
Definition: Example: making that graph fatter with a number smaller than 1 for the "a"