What property was used for step 2?
zero product property
What are the x-intercepts of the following quadratic?
x=-1 or x=-5
What does it mean if
b^2-4ac<0
There are no solutions (x-intercepts)
Bob threw a basketball across a court. The graph shows the relationship between the horizontal distance of the ball and its height. How far away from Bob did the ball land?
21 feet
What is the maximum number of solutions to a quadratic equation?
2
Solve by factoring:
x^2-2x-24=0
x=-4 or x=6
Sketch a graph of a quadratic that has NO SOLUTION.
**does not touch nor cross x-axis
How many solutions are there to the following quadratic equation?
2x^2-5x-11
two solutions
What price should a toy be to generate a maximum profit?
$6
What is the name of the line that goes through the vertex?
axis of symmetry
Solve by factoring:
x^2-5x=0
x=5 or x=0
Solve the following quadratic:
x^2-100x-2400=0
x=40 or x=60
If the discriminant is equal to zero what feature of a quadratic becomes the solution?
the vertex (max/min)
Describe the y-intercept of the following quadratic.
The ball started 5 feet off the ground.
What should the value of "a" be in a quadratic equation for the vertex to be a maximum?
a<0
Solve by factoring:
x^2=-x+6
x=2 or x=-3
Solve the following equation:
h(t)=-16t^2+40t+1.5
t=-.037 or t=2.54
What would "c" have to be in order for there to be two solutions?
3x^2-2x+c
c<1/3
What is the axis of symmetry for the following quadratic?
x=40
Solve the following quadratic equation:
x^2+5x-4x-20
x=-5 or x=4
Solve by factoring:
2x^2+20x+50=0
x=-5
Solve the following equation:
4800+280x+4x^2=10000
x=-85.249 or x=15.249
Solve the following quadratic equation using the quadratic formula:
-5x^2-3x+7
x=-1.521 or x=0.921
Describe the x-intercepts of the following quadratic.
If the ticket price is $2 or $16 there will be no profit.
What is the quadratic formula?
x=(-b+-sqrt(b^2-4ac))/(2a)