How do you find the maxima and minima according to 6.1?
Complete the square.
100
an equation in the form ax^2 + bx +c where a, b and c are real numbers and a cannot equal zero
What is the quadratic equation
100
How do you find the axis of symmetry?
What is add the x-intercepts and divide by 2
100
The quadratic formula
What is x = -b +/- square root of b^2 - 4ac all divided by 2a
100
What is the first step when determining an algebraic solution?
What is define the variables.
200
vertex form formula
What is y = a(x-h)^2 + k
200
Once the quadratic equation is factored what is the next step?
What is solve for the two x-intercepts
200
When you calculate the axis of symmetry, what else are you finding?
What is the x co-ordinate of the vertex.
200
a formula for determining the roots of a quadratic equation of the form ax^2 + bx + c +0 where a cannot equal zero.
What is the quadratic formula
200
Name 3 of the 5 ways of solving a quadratic equation
What is compleating the square, quadratic formula, graphing by hand, factoring or guess and check
300
y = -2(x-3) + 5. Name the vertex and whether the parabola opens up or down
What is (3,5) and opens down
300
Solving the quadratic equation is the same as _____?
What is finding the x-intercepts or zeros
300
Name two situations where a porabola has only one x-intercept.
What is its the vertex and opens up or its vertex is on the x axis
300
You only need to divide the numbers under the square root by 2a. True or false?
What is false
300
You must always reject one of the x-intercepts when solving a word problem. True or false?
What is false.
400
A process for expressing y = ax^2 + bx + c in the form y = a(x-h)^2 +k
What is completing the square
400
The value of the variable that makes an equation true or the same as the solution of an equation.
What is the root of the equation
400
How do you find the y co-ordinate of the vertex?
What is plug the x value of the vertex into the original formula and solve for y
400
The quadratic formula can always be used to solve quadratic equations and gives exact solutions. True or false?
What is true. (but in some cases other methods are easier to use)
400
In the formula h = -0.5gt^2 + v0t +h0 the g represents gravity which is always 9.8m/s^2, v0 represents initial velocity and h represents initial height. True or false?
What is true
500
When would you use the compleating the square method?
What is when you wanted to know the vertex of a parabola and the equation is in standard form.
500
When we check to ensure our x-intercepts are correct the left side must equal the right side. True or false?
What is true
500
Explain why you can find the x co-ordiante of the vertex by adding the intercepts and dividing by two.
What is when you average them you find the midpoint of your parabola which is the x co-ordinate of your vertex.
500
Factoring can always be used to solve quadratic equations. True or false?