Solving Quadratics
Find the x-intercepts:
y=x2+2x-15
(-5,0) and (3,0)
Solve for x:
sqrt(3x+13)=x+5
x= -4 and x=-3
What is the vertex of this equation?
y= 3(x-7)2 + 19
vertex: (7,19)
(x^2-8x+16)/(3x^2-10x-8)
(x-4)/(3x+2)
Solve the system:
2x + 5y = 19
y = 3x - 3
(2,3)
Find the x- and y- intercepts:
y=3x2-5x+2
x-intercepts: (-1/3,0) and (2,0)
y-intercept: (0,2)
Solve for x:
3(x-2)3=81
x=5
Where is the locator point of this graph? Sketch it.
y= 2(x-3)3 + 5
(3,5)
(8(x+2)^3(x-3)^3)/(4(x+2)^2(x-3)^5
(2(x+2))/(x-3)^2
Solve the System
3x - y = 7
2x + y = 8
(3,2)
Solve for x:
0=-4x2+8x+3
x= -0.32 and x=2.32
Solve for x:
|3x-6|-2=19
x=9 and x=-5
Where are the asymptotes of this graph? Sketch it.
y=1/(x+3) - 4
x=-3 and y=-4
(x+3)/(2x+1)+(2x+2)/(2x+1)
(3x+5)/(2x+1)
Solve the system:
3x - 14y = 72
9x + 22y = 18
(9.58,-3.09)
Rewrite the quadratic function in graphing form.
y=x2+6x-11
y=(x+3)2 - 20
Solve for x:
(3x)/5=(x-2)/4
x=-10/7
Sketch the graph:
y=2sqrt(x+2) - 4
Endpoint at (-2,-4). Stretch factor of 2.
(x-7)/(9(2x-1))div((x+5)(x-7))/(6x(x+5)
(2x)/(3(2x-1)
Solve the System:
4x + 2y = 14
3x - 5y = -22
(1,5)
Factor the following expression:
4x2 - 9
(2x+3)(2x-3)
Solve for x
(2x+3)/6 + 1/2 = x/2
x=6
Put the equation in graphing form and sketch the graph. Label key points.
y=x2+2x-3
y=(x+1)2 - 4
Vertex: (-1,-4)
y-intercept: (0,-3)
7/(x+5)-(4-6x)/(x+5)^2
(13x+31)/(x+5)^2
Solve the system:
y=2(x+3)2 - 5
y=14x+17
(2,45) and (-1,3)