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# Category: Course Activities (Page 1 of 8)

The exam will cover the topics of Circles, Parabolas and Lines

Remember that the circle is defined by its CENTER and RADIUS

Remember that the important characteristics of a Parabola are: VERTEX, LINE OF SYMMETRY, X-Intercepts (“Roots”) and Y-Intercept

The Parabola has the two forms

General Form: $latex Ax^{2}+Bx+C=0$

Standard Form $latex A(x-h)^{2}+k=0$

The x-coordinate of the vertex is $latex \frac{-B}{2A}$

To get the y-coordinate of the vertex, put the x-value into $latex Ax^{2}+Bx+C$

and evaluate it.

The circle has the two forms

General Form: $latex Ax^{2}+Ay^{2}+Cx+Dy+C=0$

Standard Form $latex (x-h)^{2}+(y-k)^{2}=r^{2}$

The Center is at the point (h,k) and the radius = r.

Review these for the exam:

WebWork

Graphs-Graphs of Quadratic Equations. (Problems 1-4)

Graphs-Intro to Conics (Problems 1 and 12)

ShiftingParabolas (Understand all of these)

Graphs-Equation of a Line (Problems 4 and 6)

REMEMBER the 6-point process.

Here are practice problems for the exam:

**Zero Product Rule**

Solve $latex (x-2) (3x-7)=0$

**Radical Equations**

Solve $latex \sqrt{7s-3} +2 = 0$

**Quadratic Equations**

$latex \frac{1}{2}x^{2}+4=24$

$latex 2x^{2}+9x-5=0$

**Rational Equations**

$latex \frac{x}{x+6}=\frac{4}{7}$

$latex 1-\frac {5}{y}=-\frac{6}{y^{2}}$

**Roots**

Give a polynomial of degree 4 with roots 2,3,−1 and 0. You can keep it in factored form.

**6-point process**:

Apply the 6-point discussion to any of the above problems.

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