Do Now Find Vertex

Front

What is the formula to find the x-value of the vertex of a parabola?

Back

The formula is x = -b/2a, where a and b are coefficients from the quadratic equation in the form y = ax^2 + bx + c.

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation (upward or downward).

Front

Back

The x-value of the vertex is 1.

Front

What does the axis of symmetry represent in a parabola?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, and it passes through the vertex.

Front

If the axis of symmetry is x = 4, what can you say about the vertex?

Back

The x-coordinate of the vertex is 4.

Front

How do you find the y-coordinate of the vertex once you have the x-coordinate?

Back

Substitute the x-coordinate back into the original equation to find the corresponding y-coordinate.

Front

Back

The vertex is (4, 20).

Front

What is the significance of the vertex in real-world applications?

Back

The vertex can represent maximum or minimum values in various contexts, such as profit maximization or cost minimization.

Front

What is the general form of a quadratic equation?

Back

The general form is y = ax^2 + bx + c, where a, b, and c are constants.

Front

What happens to the vertex if the value of 'a' in the quadratic equation is negative?

Back

If 'a' is negative, the parabola opens downward, and the vertex represents the maximum point.