Curve of Best Fit

Front

What is a Curve of Best Fit?

Back

A Curve of Best Fit is a line or curve that best represents the data points on a scatter plot, showing the trend of the data.

Front

What is the first step in using Desmos to find the Curve of Best Fit?

Back

Enter the table/chart of values.

Front

What type of model is often used to predict braking distance at various speeds?

Back

A quadratic model.

Front

What is the general form of a quadratic equation used for Curve of Best Fit?

Back

y = ax^2 + bx + c.

Front

How do you find the output (y) for a given input (x) in a quadratic equation?

Back

Substitute the value of x into the equation and solve for y.

Front

What does the 'a' in the quadratic equation y = ax^2 + bx + c represent?

Back

The coefficient 'a' determines the direction and width of the parabola.

Front

What does the 'b' in the quadratic equation y = ax^2 + bx + c represent?

Back

The coefficient 'b' affects the position of the vertex of the parabola.

Front

What does the 'c' in the quadratic equation y = ax^2 + bx + c represent?

Back

The constant 'c' represents the y-intercept of the parabola.

Front

What is the purpose of plotting points after entering data in Desmos?

Back

To visualize the data and see how well the curve fits the points.

Front

What is the output when x = 13 in the equation y = 1.2x^2 - 3.7x - 19?

Back

135.7.