Voabulary Words Quadratic Equations

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Vocabulary Words used to Introduce Quadratic Equations.

1

Draggable item		Corresponding Item

Vocabulary Words used to Introduce Quadratic Equations.

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

Draggable item		Corresponding Item
Equation for the axis of symmetry		U shaped graph of a quadratic equation.
\|a\| is greater than 1		The turning point of a parabola, it represents the maximum or minimum point of the parabola.
One real solution		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.
a negative
minimum
discriminant
Axis of Symmetry		the highest point of the parabola, it happens when a is negative and the parabola opens down.
parent function		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
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
\|a\| is less than 1 but greater than 0 0<\|a\|<1		transformatoion that reflect the parabola over the x-axis when the value of a is negative.
vertical translation		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.
h is negative		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
vertex form equation		Parabola opens down
No real solutions		Parabola become narrower (stretches) compared to the parabola of the parent function
Standard form equation		Parabola becomes wider (compresses) compared to the parabola of the parent function
h is positive		Vertex of the Parabola shifts up compared to the vertex of the parent function.
Complete Quadratic Equation		Vertex of the parabola shifts down compared to the vertex of the parent function.
maximum		Vertex of the parabola shifts left compared to the vertex of the parent function.
Two real solutions		Vertex of the parabola shifts right compared to the vertex of the parent function.
Parabola		determines the number of real solutions that a quadratic equations has.
Incomplete Pure Quadratic Equation		the value of the discriminant is negative.
Incomplete Mixed Quadratic Equation		the value of the discriminant is zero.
k is negative		the value of the discriminant is positive.
dilatation
a positive		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.
vertex		A quadratic equation that has only the quadratic term and the linear term.
horizontal translation		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.

Equation for the axis of symmetry

U shaped graph of a quadratic equation.

|a| is greater than 1

The turning point of a parabola, it represents the maximum or minimum point of the parabola.

One real solution

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. 

a negative

minimum

discriminant

Axis of Symmetry

the highest point of the parabola, it happens when a is negative and the parabola opens down.

parent function

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 

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

|a| is less than 1 but greater than 0   
 0<|a|<1

transformatoion that reflect the parabola over the x-axis when the value of a is negative.

vertical translation

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. 

h is negative

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

vertex form equation

Parabola opens down

No real solutions

Parabola become narrower (stretches) compared to the parabola of the parent function

Standard form equation

Parabola becomes wider (compresses) compared to the parabola of the parent function

h is positive

Vertex of the Parabola shifts up compared to the vertex of the parent function.

Complete Quadratic Equation

Vertex of the parabola shifts down compared to the vertex of the parent function.

maximum

Vertex of the parabola shifts left compared to the vertex of the parent function.

Two real solutions

Vertex of the parabola shifts right compared to the vertex of the parent function.

Parabola

determines the number of real solutions that a quadratic equations has.

Incomplete Pure Quadratic Equation

the value of the discriminant is negative.

Incomplete Mixed Quadratic Equation

the value of the discriminant is zero.

k is negative

the value of the discriminant is positive.

dilatation

a positive

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.

vertex

A quadratic equation that has only the quadratic term and the linear term.

horizontal translation

A quadratic equation that has all three terms, a quadratic term (ax^2), a linear term (bx) and a constant or independent term (c)