## How can you describe the graph of a quadratic function?

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The graph of a quadratic function is called a parabola and has a curved shape. One of the main points of a parabola is its vertex. It is the highest or the lowest point on its graph. You can think of like an endpoint of a parabola.

## What is the best way to represent a quadratic function?

Quadratic functions can be represented symbolically by the equation, y(x) = ax2 + bx + c, where a, b, and c are constants, and a ≠ 0. This form is referred to as standard form.

**Does the graphical representation of the quadratic function?**

Each parabola is symmetric about a vertical line called the axis of symmetry. This vertical line goes through the vertex. All quadratic functions of the form f(x)= ax2+bx+ c have parabolic graphs with y -intercept (0,c).

**What is the graph of a quadratic polynomial?**

The graph of a quadratic polynomial is a parabola which cuts the X- axis at. Mathematics.

### Which of the following graphs represent a quadratic function?

The graph of a quadratic function is a parabola. A parabola is a U-shaped curve that can open either up or down. The axis of symmetry is the vertical line passing through the vertex. Quadratic functions are often written in general form.

### How do you sketch a quadratic graph?

In order to sketch a quadratic graph:

- Identify the coefficient of x2 x 2 x^{2} x2, or ‘a’; this tells you whether the graph is u shaped or n shaped.
- Set y=0 y = 0 y=0 y=0 and solve the resulting quadratic equation to find the roots, or the x x x x intercept(s).

**How do you draw a quadratic graph?**

Have a go

- Click to see a step-by-step slideshow.
- Step 1 – The x axis goes from –2 to 2.
- Step 2 – Create a table for the x and y values that you will calculate to plot the graph.
- Step 3 – Find the values for y.
- Step 4 – Repeat this process for the remaining values, where x = -1, x = 0, x = 1 and x = 2.

**Which description of a graph appears to represent a quadratic relation?**

The shape of the graph is called a parabola. When you have to plot the graph of a quadratic relation always show the significant points in your graph, the vertex and the intersections with the axes. It is possible there are no intersections with the x -axis.

## What are the forms of quadratic function?

Here are the three forms a quadratic equation should be written in:

- 1) Standard form: y = ax2 + bx + c where the a,b, and c are just numbers.
- 2) Factored form: y = (ax + c)(bx + d) again the a,b,c, and d are just numbers.
- 3) Vertex form: y = a(x + b)2 + c again the a, b, and c are just numbers.

## How do you graph a parabola in a quadratic form?

If the leading coefficient is positive, then the parabola opens upward. All quadratic equations of the form y=ax2+bx+c y = a x 2 + b x + c have parabolic graphs with y-intercept (0, c). However, not all parabolas have x intercepts….The Graph of a Quadratic Equation.

y-intercept: | (0, −1) |
---|---|

Extra point: | (2, −1) |