Finding The Vertex Of Quadratics In Standard Form

Front

What is the green dot on the parabola called?

Back

vertex

Front

What is the vertex of the parabola represented by the equation y = 2x^2 - 28x + 94?

Back

(7, -4)

Front

What is the axis of symmetry in a parabola?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves.

Front

What is the standard form of a quadratic equation?

Back

The standard form is y = ax^2 + bx + c.

Front

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

Back

The vertex can be found using the formula x = -b/(2a) and then substituting x back into the equation to find y.

Front

What are the roots of a quadratic equation?

Back

The roots are the x-values where the parabola intersects the x-axis.

Front

What is the significance of the vertex in a parabola?

Back

The vertex represents the maximum or minimum point of the parabola.

Front

What does the 'a' value in the quadratic equation y = ax^2 + bx + c determine?

Back

The 'a' value determines the direction of the parabola (upward if a > 0, downward if a < 0) and its width.

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 x = -b/(2a) into the equation.

Front

What is the product of (2x + 3)(3x + 4)?

Back

6x^2 + 17x + 12