Systems of Equations
y= 5x+4
10x -5y= 25
x=-3
y = -11
(-3,-11)
What is the slope-intercept form of a line?
y=mx+b
What happens when in the standard form of a quadratic equation a is negative?
the parabola opens down
a2+3a-54
(a+9)(a-6)
Solve the next system of equations by using the elimination method:
2x + 3y= 20
4x + 7y= 48
x=-2
y=8
(-2,8)
What is the point slope form of a line?
(y-y1) = m (x-x1)
What is the equation of the vertex form of a quadratic equation?
f(x)=a (x-h)2 +k
5x3 -10x2 +3x -6
(5x2+3) (x-2)
3x - y = 4
2x + y = 8
x=2
y=-4
(2, -4)
Equation of a line with a slope of 3/5 that goes through (5,1)
y= 3/5x - 2
How do you graph a quadratic equation when a is a fraction?
Set whatever is in the parenthesis equal to the denominator of the fraction, solve it, and plug it in for x to find a point
85x9 + 136x5 + 51x
17x (5x8 + 8x4 + 3)
Determine if (-2,4) is the solution to the next system of equations
4x +y =-4
-x +3y= 8
Write the equation of a line parallel to y= 3x-4 through (1,5)
y= 3x +2
Which variables are commonly used for range and domain?
y is used for range and x for domain
4c2+36c+80
4(c+5) (c+4)
-3x +5y =15
-10y + 6x =-20
No Solution
Write the equation of a line perpendicular to 3y= x-6 through (2, -5)
y =-3x +1
List the six shifts a parent function can do.
upward, downward, to the left, to the right, upside-down and swapping the left and right sides.
6a2+13a-28
(2a+7) (3a-4)