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"