Parabolas
Find the coordinates of the vertex
f(x)=(x-1)2 - 4
(1, -4)
Write the equation of the line in point-slope form
m = -3 through the point (3, -5)
y+5=-3(x-3)
Find the GCF between each set of terms
10, 4x, 6x2
2
Solve:
x + y = 3
x - y = 1
(2, 1)
Solve
|x|+3=7
x = 4, -4
Find the x-coordinate of the vertex.
f(x) = x2 - 5x + 3
x = 5/4
Find the intercepts of the line:
5x - 6y = 18
(18/5, 0) and (0, -3)
Factor
5x2-10x
5x(x - 2)
Solve
3x+y=-11
x+2y = -7
(-3, -2)
Solve
2|x+1|=6
x = 2, -4
Find the y-intercept
y=-(x-6)2+4
(0, -32)
Find the equation of the line passing through the point that is vertical
(2, 8)
x = 2
Factor
x2-3x+2
(x - 1)(x - 2)
(it's okay to have them switched)
Solve
y = 5-2x
x+ 4y=-15
(5, -5)
Solve
2|x+3|-5=11
x = 5, -11
Find the vertex
f(x)=x2+4x-3
(-2,-7)
Find the equation of the line perpendicular to
y=-1/4x + 4 that passes through the point (-3, 7). Express the answer in point-slope form.
y - 7 = 4(x + 3)
Factor
x2 - 36
(x + 6)(x - 6)
Solve
x=1/2y+3
y = -3x+14
(4, 2)
Solve:
2+3|x+5|=1
No solution
Find the vertex
f(x)=3x2-4x+1
(2/3, -1/3)
Find the equation of the line that passes through (2, -1) and is parallel to x + 3y = 7. Express the answer in point slope form.
y + 1 = -1/3(x - 2)
Factor
5x2 - 14x - 3
(5x + 1)(x - 3)
Solve:
3x+5y=-5
4x+6y=-6
(0, -1)
Solve:
5-3|2x-3|=2
x = 1, 2