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