Voabulary Words Quadratic Equations

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Note from the author:

Vocabulary Words used to Introduce Quadratic Equations.

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

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