Hotmath Practice Problems

Graph the parabola on your calculator.

y = x² + 3x + 1

Graph the parabola on your calculator.

y = –0.2x² + 7x – 13

Graph the parabola on your calculator.

y = (x – 2)² – 7

Then graph the axis of symmetry of the parabola.

Graph the parabola on your calculator.

x = (y + 1)² + 4

Then graph the axis of symmetry of the parabola.

Use your graphing calculator to graph the quadratic function

f(x) = 2x² – x – 3.

Then use the Zero feature to find any x–intercepts. Round the answer to the nearest hundredth, if necessary.

Use your graphing calculator to graph the quadratic function

f(x) = x² – x + 5.

Then use the Zero feature to find any x–intercepts. Round the answer to the nearest hundredth, if necessary.

Use your graphing calculator to graph the quadratic function

f(x) = –x² + 6.

Then use the Zero feature to find any x–intercepts. Round the answer to the nearest hundredth, if necessary.

Use your graphing calculator to solve the equation

4x² + x – 7 = 0

using the quadratic formula. Round to the nearest hundredth.

Use your graphing calculator to solve the equation

1.5x² + 2.5x + 1 = 0

using the quadratic formula. Get the solutions as fractions.

Use your calculator to evaluate the discriminant of the quadratic equation. Tell how many times the graph will cross the x–axis.

y = x² + 2x – 8

Write a program on your calculator that will give all real solutions to the quadratic equation

0 = ax² + bx + c

for given values of a, b, and c.

Test your program on the equation

0 = x² – 4.2x – 7.1.

Explain what happens when you try to use the program to solve

0 = x² + x + 1.

Graph the quadratic inequality

in the standard viewing window.

Graph the quadratic inequality

in the standard viewing window.