Linear Functions
What does a linear function look like on a graph?
A straight line.
What is the gradient-intercept form of an equation?
y=mx+c
What is the midpoint formula?
Name three types of non-linear functions.
Parabola
Cubic
Circle
0x1=
0
Which of the following are a linear relationship?
a. y=x2+1
b. y=3/x
c. y=-x-5
c. y=-x-5
Identify the gradient of the line which is perpendicular to y=x-5.
m=-1
What is the distance formula?
d= √(x2-x1)2+(y2-y1)2
Identify which of the following are a parabolic function.
a. y=a(x-b)(x-c)(x-d)
b.(x-h)2+(y-k)2=r2
c. y=x2
c. y=x2
Solve lx+2l=7
x=5, x=-9
What is the general form of an equation?
ax2+bx+c=0
Find the gradient of the line through (-4,14) and (1, -6).
m=-4
Find the midpoint between (8,4) and (-2,6).
(3, 5)
(3,-2)
r=4
x=-3
Find the equation of the line using the table of values.
x -2 -1 0 1 2
y -8 -5 -2 1 4
y=3x-2
Find the point of intersection for the the equations y=3x-2 and y=3x+5.
There is no point of intersection since the lines are parallel.
Find the distance between (8,3) and (-2,6).
√109=10.44
What is the new equation for y=x3 which has been shifted to the left 2 units?
y=(x+2)3
What is the name for a seven-sided polygon?
Heptagon
Find the equation of the line using the table of values.
x 3 4 5 6 7
y -5 -7 -9 -11 -13
y=-2x+1
Find equation of the line which is perpendicular to y=3x-2 and passes through (-6, 8).
y=(-1/3)x+6
Find p given P(2,p) is equidistant from A(-2,2) and B(6,4).
p=3
What is the new equation for y=x2 when it has been reflected on the x-axis, shifted down three units and shifted to the right one unit?
y=-(x-1)2-3
What are the first eight decimal places of π?
3.14159265