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Algebra 1/Chapter 6
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Terms in this set (22)
linear function
a function whose graph forms a straight line Ax + By = C
linear equation
any equation that can be written in standard form Ax + By = C
y intercept
the y-coordinate where the graph intersects the y-axis, b (0, b)
x intercept
the x-coordinate where the graph intersects the x-axis (x, 0)
rate of change
ratio that compares the amount of change in the independent variable
direct variation
type of linear relationship that can be written in the form y=kx (where k=constant variation or constant of proportionality or slope)
constant variation
non zero constant k
parallel lines
lines in the same plane that have no points in common
perpendicular lines
lines that intersect to form right angles (Slopes are negative reciprocals and the product of the slopes is -1)
family functions
set of functions whose graphs have basic characteristics in common
parent function
most basic function in a family
transformation
change in position or size of a figure
translation
type of transformation that moves every point the same distance in the same direction
vertical translation
when y-intercept (b) is changed in y=mx+b the graph is translated vertically
rotation
transformation about a point "turn" y-int. is the same, slope changes when slope is changed y=mx+b is causes a rotation about a point (0,b) which changes the line in steepness
reflection
transformation across a line that produces a mirror image "flip" when slope is multiplied by 1 in y=mx+b the graph is reflected across the y-axis
absolute value function
function whose rule contains an absolute value expression
axis of symmetry
line that divides the graph into two congruent halves
vertex
"corner" point on the graph
slope
change in y over change in x; rise/run
slope-intercept form
y = mx + b where m is the slope and b is the y-intercept y = 3x + 8
point-slope form
Linear equation written as y - y1 = m(x - x1)
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