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Answers Transformations on Parabolas Question t-form g-form Vertex EQ n of Axis of Symmetry Max/Min value 1A (1, 3) MAX 3 1B (0, -2) MIN -2 1C (-2, 0) MAX 0 1D (1, -7) MIN -7 Question 2A 2B 2C 2D

How to fill out answers transformations on parabolas

To fill out answers for transformations on parabolas, follow these steps:

1. Identify the standard form equation of the parabola, which is typically in the form y = ax^2 + bx + c. This equation represents the basic shape of the parabola.
2. Determine the values of a, b, and c. These coefficients will help in understanding the specific transformations applied to the basic parabola.
3. Determine the vertex of the parabola by using the formula x = -b/2a. This will give you the x-coordinate of the vertex.
4. Once you have the x-coordinate of the vertex, substitute it back into the equation to find the y-coordinate of the vertex. This will give you the coordinates of the vertex as (h, k), where h is the x-coordinate and k is the y-coordinate.
5. Identify the axis of symmetry, which is a vertical line that passes through the vertex. The equation of the axis of symmetry is x = h, where h is the x-coordinate of the vertex.
6. Determine the direction of the parabola. If the coefficient a is positive, the parabola opens upwards. If a is negative, the parabola opens downwards.
7. Identify the y-intercept of the parabola by substituting x = 0 into the equation y = ax^2 + bx + c. This will give you the value of y when x = 0.
8. Use the values of a, b, and c to determine any horizontal or vertical shifts of the parabola. These shifts can be found by modifying the x and y coordinates of the basic parabola equation.
9. Analyze any additional transformations such as stretching, shrinking, or reflection across the x or y-axis. These transformations can be identified by comparing the given parabola equation to the basic parabola equation.

Who needs answers transformations on parabolas?

1. Students studying algebra or pre-calculus who are learning about parabolas and their transformations.
2. Math teachers who need to teach their students about parabolas and how to fill out answers for transformations.
3. Individuals working in fields such as engineering or physics that require an understanding of quadratic functions and their transformations.

For pdfFiller’s FAQs

What is answers transformations on parabolas?

Answers transformations on parabolas involve changing the position, size, or shape of a parabola using mathematical equations.

Who is required to file answers transformations on parabolas?

Anyone studying or working with parabolas in mathematics or physics may need to understand and apply transformations on parabolas.

How to fill out answers transformations on parabolas?

Answers transformations on parabolas are filled out by applying specific mathematical formulas to alter the characteristics of a parabola.

What is the purpose of answers transformations on parabolas?

The purpose of answers transformations on parabolas is to manipulate the graph of a parabola to better analyze its behavior or solve equations related to it.

What information must be reported on answers transformations on parabolas?

Information such as the equations used for transformations, the specific changes made to the parabola, and the resulting graph after transformations must be reported on answers transformations on parabolas.

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