Transformations
Reflected over x-axis (upside down), right 2 units, down 4 units.
Factor x2+10x+24
(x+6)(x+4)
What type of sequence is -12, -8, -4, ...? Why?
Arithmetic Sequence because its adding a constant amount each time
Solve the system:
3x-5y=-14
x+5y=22
(2, 4)
Write the equation of a line with a slope of 1/5 and goes through the point (15, 12)
y=1/5x+9
Write an equation for an absolute function that is vertically stretched by 2 and shifted left 5 units.
y=2|x+5|
rewrite the equation y=x2-6x+14 in graphing (vertex) form
y=(x-3)2+5
What type of sequence is -18, -6, -2...? Why?
Geometric Sequence because its growing by a constant multiplier each time
Find the point where the two lines intersect:
2x-3=y
x-y=-4
(7, 11)
Write the equation of the line that goes through the two points (4, -4) and (-10, 38)
y=-3x+8
Write an equation of a cubic function that has been reflected across the x-axis, vertically compressed by 1/2 and shifted down 5 units.
y=-1/2x3-5
Find the x-intercepts of y=x2-2x-15
(-5, 0) and (3,0)
Write the rule (equation) for the sequence -12, -8, -4... (t(n)=____)
t(n)=4n-16
Solve:
5x-4y=7
2y+6x=22
(3,2)
Write the equation of an exponential function that goes through the two points (0, 2) and (4, 0.125)
y=2(0.5)x
Describe the transformations of the parent function y=2x to create the new graph y=3*2x+4+8
vertically stretched by 3, shifted left 4 units, shifted up 8 units.
Alex kicks a soccer ball a horizontal distance of 20 feet. The maximum height was 15 feet. Write the equation of a parabola that models the path of the soccer ball.
y=-3/20(x-10)2+5
or
y=-3/20x2+15
Write the rule (equation) for the sequence -18, -6, -2... (t(n)=____)
t(n)=54(1/3)n
Solve the system for a & b:
8019=a(b)6
99=a(b)2
a=11 b=3
Write the equation of the exponential function through the points (-1, 50, 25.6)
y=40(0.8)x