Voabulary Words Quadratic Equations

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1 question

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

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

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