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Algebra
Quadratic Key Features
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Gravity
Terms in this set (29)
the U-shaped graph made by a quadratic function
Parabola
The lowest or highest point on a parabola. It lies on the axis of symmetry
Vertex
A line that cuts the parabola in half. It goes through the vertex.
Axis of symmetry
y=ax^2+bx+c
Standard form of a quadratic function
The point (or points) where the parabola crosses the x-axis. Also known as the roots, solutions, or zeros.
x-intercept
The point where the parabola crosses the y-axis.
y-intercept
The highest point on a parabola.
Maximum
The lowest point on a parabola.
Minimum
The equation for the axis of symmetry is x= the x value of the vertex
What do the vertex and the axis of symmetry have in common
(-5,0) and (1, 0)
Use the zero product property to state the x intercepts of:
(x+5)(x-1) = 0
x=4
If the x intercepts of an equation are: (2, 0) and (6, 0) then what is the line of symmetry equal to?
x=-8
If the x intercepts of an equation are: (-9, 0) and (-7, 0) then what is the line of symmetry equal to?
x=-9
If the vertex of a quadratic equation is (-9, 23) then what is the axis of symmetry?
x=-6
If the vertex of a quadratic equation is (-6, 9) then what is the axis of symmetry?
2
What is the maximum number of x intercepts a quadratic can have?
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Verified questions
PRECALCULUS
You are searching different banks for the best interest rate on an investment, and you find these rates: • 6.6%/a compounded annually • 6.55%/a compounded semi-annually • 6.5%/a compounded quarterly • 6.45/a compounded monthly Rank the rates from most to least return on your investment.
PRECALCULUS
Marcello’s Pizza charges a base price of $16 for a large pizza plus$1.50 for each additional topping. If a pizza costs $25, how many toppings does it have?
BUSINESS MATH
The Nesmiths' old clothes washer costs c dollars to run for a year. They replace it with a new energy-efficient washer that costs w dollars, but saves p percent per year in energy usage. How many years will it take for the washer to pay for itself? Express your answer algebraically using the greatest integer function.
PRECALCULUS
A motor boat capable of 20 mph keeps the bow of the boat pointed straight across a mile-wide river. The current is flowing left to right at 8 mph. Find where the boat meets the opposite shore.
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