IM2 21 Standard Form Graphing

Front

What is the standard form of a quadratic equation?

Back

Front

How do you find the axis of symmetry for a quadratic equation in standard form?

Back

Front

What does the vertex of a parabola represent?

Back

The vertex of a parabola represents the highest or lowest point of the graph, depending on the direction it opens.

Front

What is the formula to find the y-coordinate of the vertex?

Back

The y-coordinate of the vertex can be found by substituting the x-coordinate of the vertex back into the quadratic equation.

Front

Identify A, B, and C in the equation y = 2x^2 + 3x - 5.

Back

A = 2, B = 3, C = -5.

Front

What is the significance of the coefficient 'a' in the standard form of a quadratic equation?

Back

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

Front

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

Back

If 'a' is positive, the function has a minimum value; if 'a' is negative, it has a maximum value.

Front

What is the vertex form of a quadratic equation?

Back

Front

How can you convert from standard form to vertex form?

Back

You can convert from standard form to vertex form by completing the square.

Front

What is the formula for finding the vertex from standard form?

Back