Quadratics

Vocabulary

Standard Form of Quadratics - Putting the Quadratics in the order of the formula

Axis of Symmetry - The line of symmetry in the graph

Vertex - The highest point on the graph.

X-intercept - the point at which the line crosses the x axis

Y- intercept - the point at which the line crosses the y axis

Maximum/Minimum Point - The points where there is the highest and lowest points on the graph

Maximum/Minimum Value - a place where there vertex is at the highest and lowest point.

Quadratics Formula - x=-b+or-√b^2-4ac

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2a

Discriminant - reveals what type of roots the equation has


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Graph

y=x^2-4x-2
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Finding Roots

Words Problem

The height in feet of a rock thrown upward at an initial speed of 64 ft/sec from a cliff 50 feet above the ocean is given by the function f(x)=-16^2+64t+50, where t is the time in seconds.


a.)Find the maximum height about the beach that the rock will attain. 2ft

b.) How long does it take to reach its maximum height?

c.) How long does it take for the rock to hit the water?

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