Quadratic Equation Day 4

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Presentation transcript:

Quadratic Equation Day 4 Graphing a Quadratic Equation

Graphing a Quadratic Equation Review The anatomy of a parabola: Zeros, Roots, Solution, x-intercepts Vertex y-intercept Axis of Symmetry Decreasing Interval Increasing Interval

Solve the equation by factoring. Graphing a parabola Finding the zeros, roots, solutions, and x-intercepts: Solve the equation by factoring. Solutions: x = 4, x = 2 x-intercepts: (4,0), (2, 0)

Graphing a parabola Find the y-intercept of the quadratic. (0, 8)

Graphing a parabola Find the axis of symmetry of the quadratic. Hint: use x = 3

Graphing a parabola Solving for the vertex. Vertex is (3, -1)

Graphing a parabola Determine if the parabola has a maximum or a minimum and the value. Minimum, -1

Put it all together to graph Increasing Interval: Decreasing Interval:

For the equation y = x2 – 4x + 3 find the: 1. solution 2. x-intercepts 3. y-intercept 4. AOS 5. vertex 6. max/min 7. Graph: Increasing Interval: Decreasing Interval:

For the equation y = -2x2 + 2x + 12 find the: 1. solution 2. x-intercepts 3. y-intercept 4. AOS 5. vertex 6. max/min 7. Graph: Increasing Interval: Decreasing Interval:

For the equation y = 15x2 + x find the: 1. solution 2. x-intercepts 3. y-intercept 4. AOS 5. vertex 6. max/min 7. Graph: Increasing Interval: Decreasing Interval:

For the equation y = 4x2 - 9 find the: 1. solution 2. x-intercepts 3. y-intercept 4. AOS 5. vertex 6. max/min 7. Graph: Increasing Interval: Decreasing Interval:

For the equation y = 2x2 + 3x + 1 find the: 1. solution 2. x-intercepts 3. y-intercept 4. AOS 5. vertex 6. max/min 7. Graph: Increasing Interval: Decreasing Interval: