Cumulative 3

Front

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

Back

Right

Front

What is the height of an object modeled by the function h(t) = -16t² + 60t + 130 when it hits the ground?

Back

5.3 seconds

Front

What are the zeros of the function represented by the equation?

Back

0 and 4

Front

Simplify the expression (5i + 4) - (2i + 3).

Back

1 + 3i

Front

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

Back

(-3, 4)

Front

What is the standard form of a parabola that opens to the right?

Back

The standard form is (y - k)² = 4p(x - h), where (h, k) is the vertex.

Front

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

Back

The vertex can be found using the formula (h, k) from the equation (y - k)² = 4p(x - h).

Front

What does the 'p' value represent in the parabola's equation?

Back

The 'p' value represents the distance from the vertex to the focus.

Front

What is the significance of the discriminant in a quadratic equation?

Back

The discriminant (b² - 4ac) determines the nature of the roots: two real roots, one real root, or no real roots.

Front

How do you determine the axis of symmetry for a parabola?

Back

The axis of symmetry can be found using the formula x = -b/(2a) from the quadratic equation ax² + bx + c.