Linear Functions
Find the slope of the line passing through (3,4) and (1,7)
-3/2
What is the center of the circle (x-1)2+(y-3)2=49?
(1,3)
Find the vertex of the parabola f(x)=x2-8x+5
(4,-11)
Does the graph of x2=y4 have symmetry about the x-axis?
yes
f(x)=2x+8; g(x) = x+4. What is f(g+x)
f(x)=3x+12
Is f(x)=1/2x -3 increasing or decreasing?
Increasing
What is the radius of the circle x2+(y-12)2=1?
1
Find the vertex of the parabola f(x)=-x2+6x+1
(3,10)
Is the graph of y= -x3 symmetric about the origin?
Yes
f(x)=x2-3x+2; g(x)=2x-4. What is (f/g)(11)?
5
What is the equation for the line passing through (0,0) and (7,11)?
y=11/7 x
What is the center of the circle x2+y2+10x+4y+20=0
(-5, -2)
Does the parabola f(x)=2x2+3x+1 have a maximum or a minimum?
minimum
Describe the transformation of y=f(x +2)
translates the graph 2 to the left
f(x)=-x3-7; g(x)=x+1. What is gof(x)?
f(x)=-x3-6
What is the equation for the line parallel to y=3x+1 passing through (0, -4)?
y=3x-4
Find the distance between the points (-5,8) and (-10,14).
sqrt 61
What is the maximum value of f(x)=-x2-6x?
9
Describe the transformation of y=f(2x)
Compress toward the y axis a factor of 1/2
f(x)=6/x-2; g(x) =3/5x. What is fog(x)
30x/3-10x
What is the equation for the line perpendicular to 2x=-5y+10 and passing through (-3,-7)?
y=5/2x+1/2
What is the radius of a circle that has center (-5,1) and passes through (3,1)?
8
What is the vertex of f(x) = -x2+4x+1?
(2,5)
f(x)=2/(x2+1) What is the new equation for this function reflected over the x axis and translated up 3?
f(x) = -2/(x2+1) +3
Find the difference quotient for f(x)=2x2+4x-3
delta y = 4x+2h+4