Exam 7: Quadratic Expressions, Equations and Functions

For the following two problems impedance in an AC circuit is the sum of the resistance, measured in real numbers, the inductive reactance , measured with positive imaginary numbers, and the capacitive reactance, measured with negative imaginary numbers. -The voltage drops an AC circuit are volts, volts and volts. Find the sum of the voltage drops in the circuit.

Solve the following quadratic inequalities and write your answer in interval notation. -

Change the function so that the graph that represents the function is shifted: -3 units left and 6 units up

Change the function so that the graph that represents the function is shifted: -9 units right and 3 units down

The value of the leading coefficient, a, is 1. Write the equation of the quadratic function with the vertex

Solve the following equations by completing the square. -

Find the discriminant and use it to identify the solutions as rational, irrational, or non-real numbers. -

Two resistors And Are in series and have a total resistance of 19 ohms. The resistance of Is one of the solutions of the equation The other resistance Is the other solution. Find the value of each resistor in ohms.

For the following functions use completing the square to rewrite the function in vertex form. -

The revenue in dollars from making Products is How many items must be produced for the revenue to be $400?

Solve the following equations using the quadratic formula. -

What must be added to the binomial To make it a perfect square?

Solve the following equations using the quadratic formula. -

Solve the following equations using the quadratic formula. -

Use interval notation to represent the range of the following function.

For the following questions assume that all variables in radicands are non-negative numbers. -Simplify.

For the following functions use completing the square to rewrite the function in vertex form. -

Determine whether the following function has a maximum or a minimum value, and identify the maximum or minimum output value.

Use a number line graph to represent the solutions to the given quadratic inequalities. -

The graph of the function is shown. Use the graph to estimate the zeros of the function.