Simplifying Radicals
Simplify sqrt 144
12
Solve the equation by taking the square root :
x2=9
x = +/- 3
What is the vertex of this function?
y= 2(x-1)2+3
(1, 3)
What is the discriminant? b2-4ac
x2+6x+3
x= 24
Solve the Quadratics by Factoring
x2-12x+20=0
10, 2
Simplify sqrt 12
2 sqrt 3
Solve the equation by taking the square root :
7x2=-63
x = +/- 3i
What are the x-intercepts of this function?
y = (x + 2)(x - 4)
(-2, 0) and (4, 0)
What is the discriminant and the type of solutions?
x2+2x+1=0
x = 0
1 real solution
Solve the Quadratics by Factoring
x2+6x+4=-4
-2, -4
Simplify sqrt 27
Solve the equation by taking the square root :
x2+9=13
x = +/- 2
Does this function open up or down?
y= -2(x+1)2+4
Down
Solve by using the Quadratic Formula
3x2-6x+3=0
x = 1
Solve the Quadratics by Factoring
n2-18n-5=-50
3, 15
Simplify sqrt -48
4i sqrt 3
Solve the equation by taking the square root :
7x2-3=46
+/- sqrt 7
What is the Axis of Symmetry of this function?
AOS: x=-b/2a
y= x2+2x-3
x=-1
What is the discriminant? How many solutions does this have?
x2 - 8x+20=0
-16
Two imaginary solutions
Solve the Quadratics by Factoring
x2+12x-20=8
2 and -14
Simplify sqrt -36
6i
Solve the equation by taking the square root :
x2-9=27
+/- 6
Does this graph open up or down?
What are the x-intercepts?
y= 3(x - 1)( x+1)
Up
(1,0) and (-1,0)
Solve by using the Quadratic Formula
2x2+9=-11x
x = -1, -9/2
Solve the Quadratics by Factoring
x2-8x+8=17
-1, 9