Point slope & slope-intercept
What is the slope given by this equation? Is the graph increasing or decreasing.
y=-4x+16
slope=m=-4
Graph is decreasing
What will the graph of y=-x2 look like?
Downward parabola (upside down U)
Which numbers in this quadratic equation correspond to a, b, and c.
-3x²+13x-2=0
a= -3
b= 13
c=-2
f(x)=2x+3, find f(4).
11
2/5+7/8=?
51/40 or 1 & 11/40
Identify the y-intercept of the equation, and its average rate of change on the interval [-30,17.8]
f(x)=-2/5x+5
y-int= (0,5)
Average rate of change on any interval will be m= -2/5
When a graph is constant, it means that it has a slope of m=?
m=0
Solve for x by factoring:
x2-5x+6=0
x=2 or x=3
f(x)=1/2x-4, find f(6).
-1
2-3=?
1/23 = 1/8
Find the rate of change between the points (-2,9) and (3,8).
m=-1/5
What is the vertex and axis of symmetry after doing the following transformation?
f(x)=(x-2)2+3
Vertex: (2,3)
AOS at x=2
Solve using quadratic formula:
5x2-4x-3=0
x= 2/5+√19/5
x=2/5-√19/5
f(x)=x2-2x+1. find f(3).
f(3)=4
Simplify 5(2x-3)=25
x=4
Put the following equation in slope-intercept form.
y-3=-1/2(x+7)
y=-1/2x-1/2
Find the equation of a linear function, f(x)=mx+b, whose graph goes through the points (-4,7) and (-5,2).
f(x)=5x+27
Solve using quadratic formula:
x2+4x+13=0
-2+3i
-2-3i
f(x)=2x2-x+4, find f(a+1).
f(a+1)=2a2+3a+5
If f(x)=√2x, what is f(-18)
*the radical goes for the 2 and the x
+/- 6i
Find an equation of the line which passes through the point (4,-3) and perpendicular to the line 2x-5y=20.
y=-5/2x+7
Draw the graph of f(x)=-2(x+3)2+5.
What is its vertex?
Does the graph open up or down?
(-3,5); the graph opens down
Factor by U substitution.
2x4-3x2-5=0
x=√10/2 x=-√10/2
x=i x=-i
f(x)=√2x+3, find f(a-1).
*the square root goes for 2x+3, not just 2x!
f(a-1)=√2a+1
Solve using the quadratic formula:
x2-5x+6=0
x=2 or x=3