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TRANSFORMING QUADRATICS with a little help from Directions: Youaregoinginvestigatetransforming(changing)quadratic functions. Wewillusethe equationyx2asourparentfunction. Readeverylineofthisinvestigationcarefully.

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How to fill out transforming quadratics with a

01

Step 1: Identify the quadratic equation in the form of ax^2 + bx + c.

02

Step 2: Determine the value of 'a', 'b', and 'c' from the given quadratic equation.

03

Step 3: Substitute the values of 'a', 'b', and 'c' into the formula for transforming quadratics: y = a(x - h)^2 + k.

04

Step 4: Find the vertex coordinates (h, k) by using the known values of 'a', 'b', and 'c'.

05

Step 5: Plot the vertex on the coordinate plane.

06

Step 6: Use the symmetry of the quadratic function to determine additional points on the graph.

07

Step 7: Draw a smooth curve passing through the plotted points to represent the graph of the transformed quadratic equation.

Who needs transforming quadratics with a?

01

Students studying quadratic equations in mathematics.

02

Mathematics teachers teaching quadratic transformations.

03

Anyone working with quadratic functions in fields like engineering or physics.

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What is transforming quadratics with a?

Transforming quadratics with a involves changing the value of 'a' in the quadratic equation to see how it affects the shape of the parabola.

Who is required to file transforming quadratics with a?

Students studying quadratic equations or mathematics may be required to practice transforming quadratics with a.

How to fill out transforming quadratics with a?

To fill out transforming quadratics with a, you need to understand how changing the value of 'a' affects the graph of the quadratic equation.

What is the purpose of transforming quadratics with a?

The purpose of transforming quadratics with a is to understand the impact of changing the 'a' value on the graph of the quadratic function.

What information must be reported on transforming quadratics with a?

The information reported on transforming quadratics with a would be the original quadratic equation, the new value of 'a', and the resulting graph after transformation.

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