PC Graphing Quadratics using Vertex Formula

What is the significance of the 'a' value in a quadratic function?

• The 'a' value determines the width and direction of the parabola.

• The 'a' value represents the y-intercept of the function.

• The 'a' value indicates the maximum value of the function.

• The 'a' value is irrelevant to the shape of the parabola.

What is the vertex of y = -2x^2 + 4x + 3?

• (1, 5)

• (2, 4)

• (0, 3)

• (-1, 6)

What is the relationship between the vertex and the roots of a quadratic function?

• The vertex is always at the origin of the graph.

• The vertex lies on the axis of symmetry, and the distance from the vertex to each root is equal when the roots are real and distinct.

• The vertex is the highest point of the graph regardless of the roots.

• The vertex and the roots are always the same point.

What is the vertex of a quadratic function?

• The point where the graph changes direction and is the maximum or minimum point of the parabola.

• The point where the graph intersects the x-axis.

• The point where the graph intersects the y-axis.

• The point where the graph is symmetrical.

How can you graph a quadratic function using its vertex?

• Plot the vertex, determine the axis of symmetry, and then plot additional points on either side of the vertex.

• Draw a straight line through the vertex and extend it in both directions.

• Use the quadratic formula to find the roots and plot them on the graph.

• Start by plotting the y-intercept and then draw a curve through it.

How do you find the vertex using the vertex formula?

• The vertex can be found using the formula h = -b/(2a) and k = f(h).

• The vertex is found at the point where the graph intersects the x-axis.

• The vertex is the midpoint of the roots of the quadratic equation.

• The vertex can be calculated using the formula h = b/(2a) and k = f(h).

What is the axis of symmetry in a quadratic function?

• A vertical line that divides the parabola into two mirror-image halves, found using the formula x = -b/(2a).

• A horizontal line that divides the parabola into two equal parts.

• The point where the parabola intersects the x-axis.

• The maximum or minimum point of the parabola.

Find the vertex of y = -5x^2 - 20x - 26.

• (-2, -6)

• (2, -6)

• (-2, 6)

• (0, -26)

What does the vertex represent in a real-world context?

• The point where two lines meet in geometry.

• The maximum or minimum value of a situation, such as the highest point of a projectile's path.

• The center of a circle in a coordinate plane.

• The starting point of a graph in a mathematical function.

Find the vertex of f(x) = -x^2 - 4x + 12.

• (-2, 16)

• (2, 16)

• (-2, 12)

• (2, 12)