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Front

What is the vertex of the parabola represented by the equation y = 3(x + 5)² - 4?

Back

The vertex is (-5, -4).

Front

What is the axis of symmetry in a parabola?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves. For the equation y = 3(x + 5)² - 4, the axis of symmetry is x = -5.

Front

What is the range of the parabola represented by the equation y = 3(x + 5)² - 4?

Back

The range is y ≥ -4.

Front

How do you find the vertex of a parabola given in the form y = a(x - h)² + k?

Back

The vertex is given by the point (h, k).

Front

What does the 'a' value in the parabola equation y = a(x - h)² + k indicate?

Back

The 'a' value indicates the direction of the parabola (upward if a > 0, downward if a < 0) and the width of the parabola (narrower if |a| > 1, wider if |a| < 1).

Front

What is the significance of the vertex in a parabola?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation.

Front

What is the formula for the axis of symmetry of a parabola in standard form?

Back

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

Front

What is the effect of changing the 'k' value in the equation y = a(x - h)² + k?

Back

Changing the 'k' value shifts the parabola vertically. If k increases, the parabola moves up; if k decreases, it moves down.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is y = ax² + bx + c.

Front

How can you determine if a parabola opens upward or downward?

Back

If the 'a' value in the equation y = ax² + bx + c is positive, the parabola opens upward. If 'a' is negative, it opens downward.