## How do you graph a quadratic function example?

Example: The vertex of the parabola y = 7(x – 1)2 – 2 is (1, -2). The graph opens upward, so the vertex is the minimum point of the parabola. Example: The vertex of the parabola y = -2(x – 7)2 + 4 is (7, 4). The graph opens downward, so the vertex is the maximum point of the parabola.

## How do you write the equation of a parabola Khan Academy?

Given the focus (h,k) and the directrix y=mx+b, the equation for a parabola is (y – mx – b)^2 / (m^2 +1) = (x – h)^2 + (y – k)^2.

## What is a graph of quadratic function called?

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.

## How do you graph standard form?

First, find the intercepts by setting y and then x equal to zero. This is pretty straightforward since the line is already in standard form. Plot the x and y-intercepts, which in this case is (9,0) and (0,6) and draw the line on the graph paper!

## How do you write an equation given two points?

Find the Equation of a Line Given That You Know Two Points it Passes Through. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.

## How do you write an equation of a line?

The slope-intercept form of a linear equation is written as y = mx + b, where m is the slope and b is the value of y at the y-intercept, which can be written as (0, b). When you know the slope and the y-intercept of a line you can use the slope-intercept form to immediately write the equation of that line.

## What is the equation of this graphed line?

To find the equation of a graphed line, find the y-intercept and the slope in order to write the equation in y-intercept (y=mx+b) form. Slope is the change in y over the change in x. Find two points on the line and draw a slope triangle connecting the two points.

## How do you write the standard form of a hyperbola?

The standard form of a hyperbola that opens sideways is (x – h)^2 / a^2 – (y – k)^2 / b^2 = 1. For the hyperbola that opens up and down, it is (y – k)^2 / a^2 – (x – h)^2 / b^2 = 1. Notice that the x appears first for the hyperbola that opens sideways and the y appears first for the hyperbola that opens up and down.

### Releated

#### Foci equation

How do you find foci? actually an ellipse is determine by its foci. But if you want to determine the foci you can use the lengths of the major and minor axes to find its coordinates. Lets call half the length of the major axis a and of the minor axis b. Then the distance […]