Creating Quadratic Functions

A parabola opens downwards and has a vertex at (-10,9). What could the equation of this parabola be?

How is a quadratic function generally expressed?

• f(x) = ax + b

• f(x) = ax^2 + bx + c

• f(x) = ax^3 + bx^2 + c

• f(x) = ax^2 + b

What is the formula for finding 'A' in a quadratic function?

• A = (First difference/2)

• A = (Second difference/2)

• A = (Sum of differences/2)

• A = (Product of differences/2)

What is the role of the y-intercept in a quadratic function?

• It determines the slope of the function.

• It is the point where the graph crosses the y-axis.

• It is the maximum point of the function.

• It is the minimum point of the function.

Tags

CCSS.HSF-IF.C.7A

When creating an explicit Quadratic equations by hand What is done in Step 5 of the process?

• Write the equation in the form f(x) = Ax² + Bx + C

• Solve for A

• Read the quadratic equation

• Substitute values into the equation

What equation represents this table?

Write an explicit quadratic equation for this table

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Create the explicit quadratic equation of the given table.

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• y=-1x²-4x+5

What is the first step in solving a quadratic function using Desmos?

• Input the values into Desmos table.

• Click on the blue Regression Icon.

• Type in table into Desmos to bring up the table.

• Choose 'Quadratic Regression' from the drop-down.

When writing a explicit quadratic equations by hand What is the unknown coefficient solved for in Step 4?

• A

• B

• C

• f(1)