What are you finding when you solve the quadratic formula? Where the graph crosses the x-axis Also...

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Slide 2 What are you finding when you solve the quadratic formula? Where the graph crosses the x-axis Also known as: Zeros, Roots and X-intercepts Slide 3 FF(x)=ax 2 +bx+c FFrom previous courses you learned that if: a is positive (a>0) then C is the y-intercept: The parabola opens up a is negative (a


Standard Form & x-intercepts & y-intercepts Writing an equation in Standard Form Finding intercepts Graphing using intercepts.

Standard Form & x-intercepts & y-intercepts Writing an equation in Standard Form Finding intercepts Graphing using intercepts.

X- and Y- Intercepts

X- and Y- Intercepts

Roots, Zeros, Axis of Vertex: x-interceptsforrestermath.weebly.com/uploads/5/7/6/4/57643655/...Roots, Zeros, x-intercepts: NONE Vertex: (-1,1) a Minimum Axis of Symmetry: the line

Roots, Zeros, Axis of Vertex: x-interceptsforrestermath.weebly.com/uploads/5/7/6/4/57643655/...Roots, Zeros, x-intercepts: NONE Vertex: (-1,1) a Minimum Axis of Symmetry: the line

Untitled 2 [bednarskimath.weebly.com]...2. A parabola has x— intercepts at x = of symmetry for the parabola. 3. A parabola has x — intercepts at x = axis of symmetry for the parabola.

Untitled 2 [bednarskimath.weebly.com]...2. A parabola has x— intercepts at x = of symmetry for the parabola. 3. A parabola has x — intercepts at x = axis of symmetry for the parabola.

Sec 4 - University of MinnesotaSec 4.2 Rational Functions Graph f(x) = (x +3)2(x 4) Short Version: 1 Intercepts/zeros 2 Even multiplicity touches. Odd multiplicity crosses. 3 End behavior

Sec 4 - University of MinnesotaSec 4.2 Rational Functions Graph f(x) = (x +3)2(x 4) Short Version: 1 Intercepts/zeros 2 Even multiplicity touches. Odd multiplicity crosses. 3 End behavior

The Solutions/Zeros/Roots/X-intercepts of a quadratic ... · Foundations of Math 11: Unit 7 – Quadratics Sardis Secondary Foundationsmath11.weebly.com Mr. Sutcliffe Example #5:

The Solutions/Zeros/Roots/X-intercepts of a quadratic ... · Foundations of Math 11: Unit 7 – Quadratics Sardis Secondary Foundationsmath11.weebly.com Mr. Sutcliffe Example #5:

Example 1: Using x-intercepts to graph a polynomial ...

Example 1: Using x-intercepts to graph a polynomial ...

MM2A3c Investigate and explain characteristics of quadratic function, including domain, range, vertex, axis of symmetry, zeros, intercepts, extrema, intervals.

MM2A3c Investigate and explain characteristics of quadratic function, including domain, range, vertex, axis of symmetry, zeros, intercepts, extrema, intervals.

l. State the x- and y-intercepts ofy= intercepts to graph the …kimmathclass.weebly.com/uploads/5/7/5/8/57589865/8b_chapter_3_l5... · intercepts. Chapter 3 Equations in Two Variables

l. State the x- and y-intercepts ofy= intercepts to graph the …kimmathclass.weebly.com/uploads/5/7/5/8/57589865/8b_chapter_3_l5... · intercepts. Chapter 3 Equations in Two Variables

Zeros of p(x)

Zeros of p(x)

NPS Learning in Place Algebra I...Use your knowledge of the relationships between x-intercepts, zeros, factors, and solution sets to complete the table below. Graph x-intercepts Zeros

NPS Learning in Place Algebra I...Use your knowledge of the relationships between x-intercepts, zeros, factors, and solution sets to complete the table below. Graph x-intercepts Zeros

Y x- intercepts x. y x x- intercepts x y x y x y.

Y x- intercepts x. y x x- intercepts x y x y x y.

Quadratic Equations Algebra I. Vocabulary Solutions – Called roots, zeros or x intercepts. The point(s) where the parabola crosses the x axis. Minimum.

Quadratic Equations Algebra I. Vocabulary Solutions – Called roots, zeros or x intercepts. The point(s) where the parabola crosses the x axis. Minimum.

6.8 Analyzing Graphs of Polynomial Functions. Analyzing Graphs of Polynomial Functions The relationships between zeros, factors, solutions, and x -intercepts.

6.8 Analyzing Graphs of Polynomial Functions. Analyzing Graphs of Polynomial Functions The relationships between zeros, factors, solutions, and x -intercepts.

More on Polynomials - Arizona State Universityterri/courses/271resources/...x-intercepts, roots, zeros Terri Miller More on Polynomials Previous Lecture Extrema Vocabulary End Behavior

More on Polynomials - Arizona State Universityterri/courses/271resources/...x-intercepts, roots, zeros Terri Miller More on Polynomials Previous Lecture Extrema Vocabulary End Behavior

Factoring or writing a polynomial as a product can be useful for finding the x-intercepts or zeros. Solving a quadratic equation means finding the zeros.

Factoring or writing a polynomial as a product can be useful for finding the x-intercepts or zeros. Solving a quadratic equation means finding the zeros.

X and Y Intercepts

X and Y Intercepts

Richland Parish School Board core... · Web view(10) 2 roots: III: #1-5 are two-variable equations locating zeros which are x-intercepts or real roots. #6-10 are one-variable equations

Richland Parish School Board core... · Web view(10) 2 roots: III: #1-5 are two-variable equations locating zeros which are x-intercepts or real roots. #6-10 are one-variable equations

X-intercept Roots Zeros Hits ground/water ~= 0 Crosses x-axis (~,0)

X-intercept Roots Zeros Hits ground/water ~= 0 Crosses x-axis (~,0)

EXAMPLE 1 Use x-intercepts to graph a polynomial function Graph the function f (x) = (x + 3)(x – 2) 2. 1 6 SOLUTION Plot: the intercepts. Because – 3 and.

EXAMPLE 1 Use x-intercepts to graph a polynomial function Graph the function f (x) = (x + 3)(x – 2) 2. 1 6 SOLUTION Plot: the intercepts. Because – 3 and.