Q2 Week 8 Spiral Review

Front

What is vertex form of a quadratic equation?

Back

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

Front

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

Back

To find the vertex of a parabola given in standard form y = ax² + bx + c, use the formula x = -b/(2a) to find the x-coordinate, then substitute x back into the equation to find the y-coordinate.

Front

What is the vertex of the parabola given by y = x² - 4x + 3?

Back

The vertex is (2, -1).

Front

Convert the equation y = 2x² + 8x + 5 to vertex form.

Back

The vertex form is y = 2(x + 2)² - 3.

Front

What does the 'a' value in the vertex form of a quadratic equation 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

Find the vertex of the parabola represented by y = -3(x - 1)² + 2.

Back

The vertex is (1, 2).

Front

What is the significance of the vertex in a parabola?

Back

The vertex represents the maximum or minimum point of the parabola, depending on the direction it opens.

Front

How do you convert from standard form to vertex form?

Back

To convert from standard form y = ax² + bx + c to vertex form, complete the square.

Front

What is the vertex of the parabola given by y = -x² + 4x - 3?

Back

The vertex is (2, 1).

Front

If a quadratic function opens downward, what can be said about its vertex?

Back

The vertex is the maximum point of the function.