Quadratic Equations - Christopher Kamugisha | Laabri

Akwankyerɛ

1

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

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

4

How many points of intersection are on the graph?

AII.9-12.2.B

AII.9-12.3.C

1

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

1

8 – 13p = 6p(6 – p)

1

Solve the following quadratic equation by factoring:

1

Solve the following quadratic equation by factoring:

1

Solve the following quadratic equation by factoring:

1

Solve the following quadratic equation by factoring:

1

Solve the following quadratic equation by factoring:

1

Solve the following quadratic equation by factoring:

1

Solve the following quadratic equation by factoring:

1

Solve the following quadratic equation by factoring:

1

Solve the following quadratic equation by factoring:

1