Question

How to transform the graph x^2 to 2x^2-20x 43

Answer 1

The transformation of the graph
`\(x^2\) to \(2x^2 - 20x + 43\)` involves a vertical stretch by a factor of 2, a horizontal translation to the right by 20 units, and a vertical translation upwards by 43 units.

The transformation
`\(2x^2 - 20x + 43\) from \(x^2\)` involves adjusting the coefficient and linear term in
`\(x^2\)`. Here are the steps to transform the graph:

1. Coefficient Transformation (a):

- The coefficient of
`\(x^2\) in \(x^2\)` is 1.

- In
`\(2x^2 - 20x + 43\)`, the coefficient of
`\(x^2\)` is 2.

- This means there's a vertical stretch by a factor of 2.

2. Linear Term Transformation (b):

- The linear term in
`\(x^2\)` is 0.

- In
`\(2x^2 - 20x + 43\)`, the linear term is -20x.

- This means there's a horizontal translation to the right by 20 units.

3. Constant Term Transformation (c):

- The constant term in
`\(x^2\)` is 0.

- In
`\(2x^2 - 20x + 43\)`, the constant term is 43.

- This means there's a vertical translation upwards by 43 units.

Putting it all together, the transformation from
`\(x^2\) to \(2x^2 - 20x + 43\)` involves a vertical stretch by a factor of 2, a horizontal translation to the right by 20 units, and a vertical translation upwards by 43 units.

The probable question may be:

How to transform the graph x^2 to 2x^2-20x+43