Q2 - HWK 6 - Review Quadratic Vertex Form

Front

What is the vertex form of a quadratic equation?

Back

The vertex form of a quadratic equation is given by y = a(x - h)² + k, where (h, k) is the vertex of the parabola.

Front

What does the 'a' value in the vertex form indicate?

Back

The 'a' value indicates the direction of the parabola: if 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

Front

How do you find the vertex of the parabola from the equation y = 2(x - 3)² + 1?

Back

The vertex is (3, 1). It is found directly from the equation in vertex form.

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 whether it opens up or down.

Front

What is the y-intercept of a quadratic equation?

Back

The y-intercept is the point where the parabola crosses the y-axis, found by setting x = 0 in the equation.

Front

How do you determine if a parabola has a maximum or minimum value?

Back

If the parabola opens upwards (a > 0), it has a minimum value. If it opens downwards (a < 0), it has a maximum value.

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, given by the equation x = h.

Front

How can you identify the direction a parabola opens from its equation?

Back

Look at the 'a' value in the vertex form: if 'a' is positive, it opens up; if 'a' is negative, it opens down.

Front

What is the formula to find the x-coordinate of the vertex from standard form?

Back

The x-coordinate of the vertex can be found using the formula x = -b/(2a) from the standard form y = ax² + bx + c.

Front

What does it mean for a parabola to have zeroes?

Back

Zeroes (or x-intercepts) are the points where the parabola crosses the x-axis, found by solving the equation for y = 0.