Quadratic Equations - Christopher Kamugisha | Library

Instructions

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Match each of the following vacabulary words with its definition, equation or formula.

Draggable item		Corresponding Item
Axis of Symmetry		U shaped graph of a quadratic equation.
Complete Quadratic Equation		The turning point of a parabola, it represents the maximum or minimum point of the parabola.
Two real solutions		The vertical line parallel to the y-axis that divides the parabola into 2 symetrical halves.
reflection		The place where the parabola corses or intersects with the x-axis.
h is positive
Incomplete Pure Quadratic Equation
Incomplete Mixed Quadratic Equation
h is negative		the highest point of the parabola, it happens when a is negative and the parabola opens down.
vertical translation		the lowest point of a parabola, it happens when a is positive and the parabola open up.
maximum		the simplest form of a parabola
x-intercetpt, solution, roots or zeros		transformation that stretches (narrows) or compresses (widens) a parabola depending on the absolute value of \|a\|. Stretches if \|a\| > 1 Compresses if 0<\|a\|<1
discriminant		transformatoion that reflect the parabola over the x-axis when the value of a is negative.
minimum		transformation that shifts the parabola up or down depending on the value of k. If k is negative the parabola shifts down, if k is positive the parabola shiifts up.
\|a\| is less than 1 but greater than 0 0<\|a\|<1		transformation that shifts the parabola left or right depending on the value of h. If h is negative the parabola shifts right, if h is positive the parabola shifts left. Remember that the vaklue of h is opposite in the equation.
Quadratic formula		Parabola open up
\|a\| is greater than 1		Parabola opens down
a positive		Parabola become narrower (stretches) compared to the parabola of the parent function
k is positive		Parabola becomes wider (compresses) compared to the parabola of the parent function
vertex		Vertex of the Parabola shifts up compared to the vertex of the parent function.
Equation for the axis of symmetry		Vertex of the parabola shifts down compared to the vertex of the parent function.
parent function		Vertex of the parabola shifts left compared to the vertex of the parent function.
horizontal translation		Vertex of the parabola shifts right compared to the vertex of the parent function.
No real solutions		determines the number of real solutions that a quadratic equations has.
vertex form equation		the value of the discriminant is negative.
dilatation		the value of the discriminant is zero.
a negative		the value of the discriminant is positive.
Parabola
One real solution		A quadratic equation that only has the quadratic term and the independent or constant term. Both terms ,must be perfect squares and the opperation sign between the terms must be negative.
Standard form equation		A quadratic equation that has only the quadratic term and the linear term.
k is negative		A quadratic equation that has all three terms, a quadratic term (ax^2), a linear term (bx) and a constant or independent term (c)

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How many points of intersection are on the graph?

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2x(4x + 3) = 3 + x

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8 – 13p = 6p(6 – p)

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Solve the following quadratic equation by factoring:

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Solve the following quadratic equation by factoring:

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Solve the following quadratic equation by factoring:

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Solve the following quadratic equation by factoring:

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Solve the following quadratic equation by factoring:

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Solve the following quadratic equation by factoring:

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Solve the following quadratic equation by factoring:

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Solve the following quadratic equation by factoring:

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Solve the following quadratic equation by factoring:

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