Converting Standard to Vertex Form

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 convert a quadratic equation from standard form to vertex form?

Back

To convert from standard form (ax² + bx + c) to vertex form (a(x - h)² + k), complete the square.

Front

What is the vertex of the parabola represented by the equation f(x) = (x - 1)² - 4?

Back

The vertex is (1, -4).

Front

Given the equation y = 2(x - 3)² - 9, what is the value of 'a'?

Back

The value of 'a' is 2.

Tags

CCSS.HSF-IF.C.7A

Front

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

Back

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

Tags

CCSS.HSF-IF.C.7A

Front

Convert the equation y = -x² + 10x - 4 to vertex form.

Back

y = -(x - 5)² + 21.

Front

What is the significance of the vertex in a quadratic function?

Back

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

Front

How do you find the x-coordinate of the vertex from the standard form of a quadratic equation?

Back

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

Front

What is the vertex of the parabola represented by the equation y = -2(x - 6)² - 67?

Back

The vertex is (6, -67).

Front

Convert the equation y = 4x² - 32x + 2 to vertex form.

Back

y = 4(x - 4)² - 62.