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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.

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)

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