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Solving and Graphing Quadratic Equations
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Find the value of x.
x = 6in
Determine the equation.
A. y = x^2 + 3x - 10
Solve.
x = {-5, 4}
Identify the factors.
(x + 3) and (x - 2)
Solve.
12ft x 7ft
How long will it take to reach the ground?
3.20 secs
used to determine the discriminant
d = b^2 - 4ac
used to determine the axis of symmetry
x = -b/2a
Solve.
x = {-3.22, 6.22}
Solve.
x = {-5, 9}
Convert to standard form.
y = x^2 - 6x + 14
the point(s) at which the parabola intersects the x-axis (name all discussed)
solutions, roots, x-intercepts, zeros
used to determine the number of solutions of a quadratic equation
discriminant
Find the maximum height of the tennis ball.
h = 10.06 feet
Use the equation in vertex form to answer the questions.
AOS: x = -3 vertex: (-3, -1) Domain: all real numbers Range: y >= -1
the turning point of a parabola
vertex
Solve.
x = {1, 8}
Solve.
x = {0, 4}
the u-shaped curve created by a quadratic equation
parabola
Solve.
x = {-9, 8}
Find the axis of symmetry and vertex of the following:
A.O.S.: x = 5 vertex: (5, -3)
the standard form of a quadratic equation
y = ax^2 + bx + c