Quadratic Equations

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17 questions

Instructions

Draggable item		Corresponding Item

How many points of intersection are on the graph?

AII.9-12.2.B

AII.9-12.3.C

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

Quadratic Equations

Quadratic Equations

How many points of intersection are on the graph?

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

8 – 13p = 6p(6 – p)

Solve the following quadratic equation by factoring:

Solve the following quadratic equation by factoring:

Solve the following quadratic equation by factoring:

Solve the following quadratic equation by factoring:

Solve the following quadratic equation by factoring:

Solve the following quadratic equation by factoring:

Solve the following quadratic equation by factoring:

Solve the following quadratic equation by factoring:

Solve the following quadratic equation by factoring:

Solve the following quadratic equation by factoring:

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

How many points of intersection are on the graph?

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

8 – 13p = 6p(6 – p)

Solve the following quadratic equation by factoring:

Solve the following quadratic equation by factoring:

Solve the following quadratic equation by factoring:

Solve the following quadratic equation by factoring:

Solve the following quadratic equation by factoring:

Solve the following quadratic equation by factoring:

Solve the following quadratic equation by factoring:

Solve the following quadratic equation by factoring:

Solve the following quadratic equation by factoring:

Solve the following quadratic equation by factoring: