Voabulary Words Quadratic Equations

Last updated about 5 years ago

1 question

Note from the author:

Vocabulary Words used to Introduce Quadratic Equations.

1

Library

Voabulary Words Quadratic Equations

Last updated about 5 years ago

1 question

Note from the author:

Vocabulary Words used to Introduce Quadratic Equations.

1

Draggable item		Corresponding Item

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

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

horizontal translation

U shaped graph of a quadratic equation.

Standard form 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.

k is positive

The place where the parabola corses or intersects with the x-axis. 

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

No real solutions

minimum

k is negative

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

Complete Quadratic Equation

the lowest point of a parabola, it happens when a is positive and the parabola open up.

Incomplete Mixed Quadratic Equation

the simplest form of a parabola 

Incomplete Pure Quadratic Equation

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 greater than 1

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

parent function

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. 

Equation for the axis of symmetry

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 positive

Parabola open up

maximum

Parabola opens down

Quadratic formula

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

vertex form equation

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

Axis of Symmetry

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

a positive

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

vertical translation

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

vertex

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

a negative

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

One real solution

the value of the discriminant is negative.

Parabola

the value of the discriminant is zero.

dilatation

the value of the discriminant is positive.

h is negative

discriminant

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.

reflection

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

x-intercetpt, solution, roots or zeros

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