Math and Physics Quiz

Graph f(x) = -5x2 + 10x, labeling the y-intercept, vertex, and axis of symmetry.

Determine whether f(x) = -3x2 + 6x + 1 has a maximum or a minimum value and find that value.

Solve x2 = 6x - 8 by graphing. If exact roots cannot be found, state the consecutive integers between which the roots are located.

Solve 5x2 + 13x = 6 by factoring.

ELECTRICITY The total impedance of a series circuit is the sum of the impedances of all parts of the circuit. Suppose that the first part of a circuit has an impedance of 6 - 5j ohms and that the total impedance of the circuit was 12 + 7j ohms. What is the impedance of the remainder of the circuit?

ELECTRICITY In an AC circuit, the voltage E (in volts), current I (in amps), and impedance Z (in ohms) are related by the formula E = I ⋅ Z. Find the current in a circuit with voltage 10 - 3j volts and impedance 4 + j ohms.

Write a quadratic equation with -6 and 34 as its roots. Write the equation in the form ax2 + bx + c = 0, where a, b, and c are integers.

Solve x2 + 6x + 9 = 25 by using the Square Root Property.

PHYSICS The height h (in feet) of a certain rocket t seconds after it leaves the ground is modeled by h(t) = -16t2 + 48t + 15. Write the function in vertex form and find the maximum height reached by the rocket.

Bonus Write a quadratic equation with roots ± 73. Write the equation in the form ax2 + bx + c = 0, where a, b, and c are integers.