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More Lessons for Grade 9

Math Worksheets

Videos, worksheets, solutions, and activities to help Algebra students learn how to graph parabolas that are written in the vertex form, y = a(x - h)^{2} + k, by using the coordinates (h, k) to graph the vertex.

**What is the vertex form of a parabola?**

The vertex form of a parabola is y = a(x - h)^{2} + k.

**How to graph parabolas that are written in the vertex form?**

Given the vertex form y = a(x - h)^{2} + k

1. Plot the vertex (h, k)

2. If a > 0 then (h, k) is the minimum point, if a < 0 then (h, k) is the maximum point.

3. Substitute x = 0, to get the y-intercept

4. Substitute y = 0, to get the x-intercept

**How to convert a parabola from standard form to vertex form?**

Short cut method:

Given a parabola, y = ax^{2} + bx + c,

1. Calculate h = -b/2a, k = f(-b/2a)

2. Rewrite the equation as y = a(x - h)^{2} + k.

**Graphing Parabolas in the vertex form y = a(x-h)**^{2} + k

An animated video about graphing quadratic functions.

**Graph parabola vertex form**
**How to Graph a Parabola?**

This is a quick review of all the parameters involved in graphing a problem in Vertex form.
**Parabola Equations - Graphing Parabolas**

Students learn to graph quadratic equations that are written in y - k = a(x - h)^{2} form by using the coordinates (h, k) to graph the vertex, and using the x and y-intercepts to graph the parabola. Students are reminded that to find the y-intercept, they must substitute a 0 in for x, and to find the x-intercept(s), they must substitute a zero in for y.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

More Lessons for Grade 9

Math Worksheets

Videos, worksheets, solutions, and activities to help Algebra students learn how to graph parabolas that are written in the vertex form, y = a(x - h)

The vertex form of a parabola is y = a(x - h)

Given the vertex form y = a(x - h)

1. Plot the vertex (h, k)

2. If a > 0 then (h, k) is the minimum point, if a < 0 then (h, k) is the maximum point.

3. Substitute x = 0, to get the y-intercept

4. Substitute y = 0, to get the x-intercept

Short cut method:

Given a parabola, y = ax

1. Calculate h = -b/2a, k = f(-b/2a)

2. Rewrite the equation as y = a(x - h)

An animated video about graphing quadratic functions.

This is a quick review of all the parameters involved in graphing a problem in Vertex form.

Students learn to graph quadratic equations that are written in y - k = a(x - h)

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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