Solving Quadratics
Actually Solving Quadratics
Imaginary Numbers
Properties of Quadratics
Transformations
100
What is the quadratic formula?
opposite of b, plus or minus the square root of b squared minus four times ac all divided by 2a
100
Factor the quadratic function on Slide 7.
(x-9)(x-7)
100
What is the imaginary unit and what does it equal?
Imaginary unit is i i=square root of -1
100
What is the y-intercept of the quadratic on slide 4?
-3
100
What type of transformation does the 'h' stand for in the vertex form of a quadratic?
Horizontal translation
200
When you solve a quadratic (or find the zeros) you are actually finding the values where the parabola does what?
crosses or intersects or touches the x-axis
200
If you were to solve using the method completing the square, what number would you add to both sides of the equation for the function in Slide 5?
9
200
Describe what a complex number is.
has a real part and an imaginary part
200
What is the formula to find the line of symmetry of a quadratic?
b/-2a
200
How do you tell whether a parabola opens upwards or downwards?
If 'a' is negative it opens downward..positive, it opens up
300
What are 3 ways to solve for a quadratic function?
Completing the square factoring graphing quadratic formula
300
Solve the quadratic on Slide 9 using the Quadratic Formula.
x=4.4 and x=-.9
300
Simplify in simplest radical form: √(−45)
3i root 5
300
Describe when the vertex is a maximum and when it is a minimum.
The vertex is a minimum when the parabola opens up and a maximum when it opens down.
300
Write the equation of the quadratic on Slide 11 in Vertex Form.
-x^2+3
400
How many real possible answers are there for a quadratic? Draw pictures that represents each scenario.
no answers one answer two answers
400
Factor the quadratic on Slide 8
(2x+3)(x+7)
400
Solve for x and y on Slide 10
y=-12 x=1
400
Find the vertex of the quadratic on Slide 3
(2,-19)
400
Describe the transformation(s) that have been done to the quadratic on slide 12
Reflection across x-axis Vertical Stretch by a factor of two Vertical translation up 3
500
Describe how the discriminant of a quadratic can tell you how many answers you will have.
discriminant > 0 two real answers discriminant = 0 one real answer discriminant < 0 two imaginary answers
500
Solve the quadratic on Slide 6 using the quadratic formula
1 +or- 1.5275i 1+or- 1/3i root 21
500
What does i squared equal?
-1
500
Graph the quadratic equation on Slide 2
Vertex: (-2,-5) Y-intercept: -1 Opens: up
500
Write the equation of a quadratic in vertex form that has been translated left 2 units and reflected across the y-axis
f(x) = (x+2)^2
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