Graphing Quadratic in 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 determines 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

How do you find the vertex from the vertex form?

Back

The vertex (h, k) can be directly read from the vertex form equation y = a(x - h)² + k.

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that passes through the vertex of the parabola, given by the equation x = h.

Front

How do you convert from vertex form to standard form?

Back

To convert from vertex form y = a(x - h)² + k to standard form y = ax² + bx + c, expand the equation and simplify.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is y = ax² + bx + c, where a, b, and c are constants.

Front

What is the significance of the 'c' value in standard form?

Back

The 'c' value represents the y-intercept of the quadratic function, which is the point where the graph intersects the y-axis.

Front

How can you determine the direction of a parabola from its equation?

Back

If 'a' is positive, the parabola opens upward; if 'a' is negative, it opens downward.

Front

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

Back

The x-coordinate of the vertex can be found using the formula x = -b/(2a).

Front

How do you find the y-coordinate of the vertex using standard form?

Back

Substitute the x-coordinate of the vertex back into the standard form equation to find the y-coordinate.