Name: ______

Quadratics Project

Part I- Solving Quadratic Equations

Quadratic formula: Solve the following equation using the quadratic formula. (Remember to write the formula, substitute in, and solve) Calculators may be used providing all work is shown. Round to the nearest hundredth.

5n2 – 7n – 3 = 0

Correct Formula / Correct Substitution / Correct Solutions
Quadratic Formula

Solve by Factoring: Solve one equation for each type from the table on the back of this page. Show and explain how you got your answer.

Correct Explanation / Correct Work Shown / Correct Solutions
y = x2 +bx+c
y = ax2 +bx+c

Part II - Graphing Quadratic Equations

Standard form: Choose one equation from the table on the back of this page to graph. Graph the equation. Identify the axis of symmetry, the vertex and whether the vertex is a minimum or maximum.

Correct graph / Correct axis of symmetry / Correct vertex / Correct
Max/Min
Standard form: y = ax2 +c

Vertex form: Choose on equation from the table on the back of this page to graph. Graph the equation. Identify the axis of symmetry and vertex.

Correct graph / Correct axis of symmetry / Correct vertex / Correct
Max/Min
Vertex form: y = a(x-h)2 + k

Quadratics Project

Part III

Real-World Example/Problem

Create a real-world example/problem that uses the Vertical Motion model.

Identify theinitial velocity and height.

Describe what the initial velocity and the initial height mean in the context of the example.

Show at what time, t, the object will hit the ground.

Show at what time, t, the object is at it’s maximum

Show what the maximum height of the object is.

Create a real-world example/problemthat uses the vertical motion model
Correctly identify the initial velocity
Correctly identify the initial height
Correctly describe what the initial velocity means in the context of the example
Correctly describe what the initial height means in the context of the example
Correctly show the time the object will hit the ground
Correctly show the time the object is at it’s maximum
Correctly show the maximum height of the object

______

Tables for Parts I and II

Part I – Solve Quadratic Equations

Solve Equations by Factoring – Choose 1 from each row.

Equation #1 / Equation #2 / Equation #2
y = x2 +bx+ c / n2 – 10n + 25 = 0 / x2 + 7x – 60 = 0 / a2 – 11a + 24 = 0
y = ax2 +bx+ c / 2n2 – 11n + 15 = 0 / -12x2 + 5x + 3 = 0 / 3a2 + 29a – 44 = 0

Part II – Graphing Quadratic Equations

Standard form – Choose 1

Equation #1 / Equation #2 / Equation #3
y = -4x2 + 5 / y = 2x2 – 1 / y = x2 + 2

Vertex form – Choose 1

Equation #1 / Equation #2 / Equation #3