Quadratics in General
Use this characteristic of quadratic equations to determine that the graph opens downward.
What is determine that the "a" coefficient is negative.
If a quadratic equation in vertex form has a variable, k, that is +4, there is a vertical shift of:
What is "up four?"
The graph y=2x2 -8x+6 has x intercepts of _________ and _________.
What are x=1 and x=3.
This was the month that the very first Thanksgiving celebration took place?
What is September?
Find the vertex of g(x)= 2(x-2)2 + 5
(2, 5)
Use this characteristic of quadratic equations to determine that the graph is steeper than y=x2.
What is determine that the absolute value of the "a" coefficient is greater than 1.
The quadratic equation of the form f(x)=1/2(x-3)2- 4 has a horizontal shift of:
What is "3 to the right?"
The highest or lowest point on a parabola described by a quadratic equation is called the ____________.
What is "the vertex."
This city has the oldest Thanksgiving Day Parade.
What is Philadelphia?
Find the vertex of (x)=1/2(x-3)2- 4
(3, -4)
The vertical shift of a quadratic equation in vertex form is given by this variable.
What is "k?"
The vertex formula for finding the vertex of a quadratic equation in standard form is:
What is x=(-b/2a)
This line divides the parabola into mirror images and passes through the vertex.
What is "the axis of symmetry?"
Who was John F. Kennedy?
Find the vertex of g(x)= x2 -2
(0, -2)
The horizontal shift of a quadratic equation in vertex form is given by this variable.
What is "h?"
To find the y value of the vertex of a quadratic equation in standard form, do this to the x-value of the vertex that you determined.
What is "plug the x-value into the original standard form equation and solve for y."
A quadratic function given by y=5x2 + 22x -10000000 is in __________________ form.
What is "standard form."
This is the number of turkeys cooked each Thanksgiving.
What is 46 million (or 46,000,000).
g(x)=(x-3)2
(3, 0)
The scaling factor of a quadratic equation in vertex form is given by this variable.
What is "a?"
When a quadratic equation has a variable, a, that is less than 1, the graph is ________________ than the "base" equation y=x2
What is "less steep."
A quadratic function given by y=5(x-333333)2 -10000000 is in __________________ form.
What is "vertex form."
This type of pie is the most popular Thanksgiving dessert.
What is pumpkin pie?
Find the vertex of y=8x-4x2+2
What is (1, 6)?