4.6 A1 P8 Flashcard

Front

What are the values of a, b, and c in the quadratic equation 4x² - 8x = 3?

Back

a = 4, b = -8, c = -3

Front

What is the formula for the discriminant of a quadratic equation?

Back

b² - 4ac

Front

Convert the equation -3x² + 7x = -2x - 8 into standard form.

Back

-3x² + 9x + 8 = 0

Front

What is the discriminant of the equation -8x² + 6x - 4 = 0 and how many solutions does it have?

Back

-92, No Solutions

Front

If a function has a discriminant of -3, how many x-intercepts does it have?

Back

0

Front

What does a positive discriminant indicate about the solutions of a quadratic equation?

Back

Two distinct real solutions.

Front

What does a discriminant of zero indicate about the solutions of a quadratic equation?

Back

One real solution (a repeated root).

Front

What does a negative discriminant indicate about the solutions of a quadratic equation?

Back

No real solutions (complex solutions).

Front

Write the standard form of a quadratic equation.

Back

ax² + bx + c = 0

Front

What is the vertex form of a quadratic function?

Back

y = a(x - h)² + k, where (h, k) is the vertex.