Solving Quadratic Functions by Graphing
How do you find the equation for the axis of symmetry?
x=-b/2a
What value of c would make the trinomial a perfect square?
25
Solve by factoring: 10x2 +25x=15
-3 and 1/2
Solve -8x2+4x=-5 using the quadratic formula.
( 1 + or - sqr(11))/4
Find the vertex for the function f(x)=-2(x^2)+3x-10
(3/4,-71/8)
Solve by completing the square: x2-8x-65=0
-5 and 13
Solve by factoring: 27x2 +5=48x
5/3 and 1/9
Solve x2+25=0 using the quadratic formula.
+ or - 5i
Graph and solve f(x)=x^2-3x-10
x=-2 and x=5
Write y=x2+2x-5 in vertex form. Then determine the vertex.
y=(x+1)2-6
Solve by factoring: x2 -81=0
+9, -9
What is the discriminant of x2-11x-26=0? What does this mean in terms of our solutions.
225, 2 rational roots.
Graph and solve f(x)= x^2-6+4. If the exact roots can not be determined, state which x-values the roots occur between.
Between -1 and -0.5 and between -3 and -3.5
Solve -0.3x2-0.78x-5.514=0
-1.3 (+ or -) 4.09i
Solve by factoring: 45x2 -3x=2x
0, 1/9
List the type/ number of solutions, and the solutions to the function: 12x2+9x+1=y
2 irrational roots. (-9 + or - sqr 33)/24
Write a quadratic equation in which the following is satisfied: "Their sum is 4, and their product is -117". Determine the roots.
13 and -9
Solve x2+bx+c=0 by completing the square. Leave in terms of b and c.
x=(-b/2) (+ or -) sqr((b2/4-c))
Solve by factoring: 80x2 =-16
positive and negative (sqr(5)/5)(i)
List the type of roots and the solution(s) for y=r2-(3/5)r+2/5
2 complex roots. (3 +or- i sqr(31)/10)