Cumulative 3

Front

What direction does the parabola point in the equation 8x = (y - 2)²?

Back

Right

Front

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

Back

The discriminant is given by b² - 4ac.

Front

Determine the value of the discriminant for the quadratic equation x² + 2x - 63.

Back

256 - 2 reals - Rational

Front

What are the possible types of solutions based on the discriminant?

Back

If the discriminant is positive, there are 2 real solutions; if zero, 1 real solution; if negative, 2 imaginary solutions.

Front

Solve the quadratic equation x² - 6x + 4 = 0.

Back

x = 3 ± √5

Front

What is the discriminant of the equation -2x² − x − 1 = 0?

Back

-7

Front

What are the coordinates of the focus point for the equation (y-4)² = -8(x+1)?

Back

(-3, 4)

Front

What is the vertex form of a parabola?

Back

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

Front

How do you find the vertex of a parabola given in standard form?

Back

For a quadratic in the form y = ax² + bx + c, the vertex x-coordinate is given by -b/(2a).

Front

What does it mean if the parabola opens upwards?

Back

If a > 0 in the equation y = ax² + bx + c, the parabola opens upwards.