Warm-up 1.Solve by factoring: 3x 2 – 16x – 7 = 5 2.Solve by factoring: 2x 2 = 32.

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Presentation transcript:

Warm-up 1.Solve by factoring: 3x 2 – 16x – 7 = 5 2.Solve by factoring: 2x 2 = 32

Homework Answers & & 9/ & 4/ & & & /5 & -2/ & ¾ 11.-5/6 & 5/6 12.0, -5/6, & 3/2 13.0, -2/3, & 3/ /8, & 3/8

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 Increasing Interval Decreasing Interval

Graphing Quadratics Step 1: Find the axis of symmetry Step 2: Substitute the a.o.s. in for x to find y Step 3: Plot the vertex (a.o.s., y found) Step 4: Plot the y-intercept (0, c) Step 5: Reflect this point over the a.o.s Step 6: Draw a curve through your three points!

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. y-intercept: (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 = x 2 – 4x + 3 find the: 1. solution2. x-intercepts 3. y-intercept 4. AOS5. vertex6. max/min 7. Graph: Increasing Interval: Decreasing Interval:

For the equation y = -2x 2 + 2x + 12 find the: 1. solution2. x-intercepts 3. y-intercept 4. AOS5. vertex6. max/min 7. Graph: Increasing Interval: Decreasing Interval:

For the equation y = 15x 2 + x find the: 1. solution2. x-intercepts 3. y-intercept 4. AOS5. vertex6. max/min 7. Graph: Increasing Interval: Decreasing Interval:

For the equation y = 4x find the: 1. solution2. x-intercepts 3. y-intercept 4. AOS5. vertex6. max/min 7. Graph: Increasing Interval: Decreasing Interval:

For the equation y = 2x 2 + 3x + 1 find the: 1. solution2. x-intercepts 3. y-intercept 4. AOS5. vertex6. max/min 7. Graph: Increasing Interval: Decreasing Interval: Teacher Note: Use if needed

Let’s see where quadratics come into play in the real world… 4Ihttps:// 4I MrYhttps:// MrY

HOMEWORK 1-4 ****************************** TUTORIALS ALL HUSKY HELP TIMES TUESDAY AND WEDNESDAY AFTERNOON 2:20-3:20 Homework