Intro to Quadratics + Vocabulary

What is the minimum value of a quadratic function?

• The minimum value occurs at the vertex of the parabola when it opens upwards, representing the lowest point on the graph.

• The minimum value is always zero regardless of the coefficients.

• The minimum value occurs at the x-intercepts of the graph.

• The minimum value is found at the maximum point of the parabola.

What is the vertex form of a quadratic function?

• f(x) = a(x - h)² + k, where (h, k) is the vertex.

• f(x) = ax² + bx + c, where a, b, and c are constants.

• f(x) = a(x + h)² + k, where (h, k) is the vertex.

• f(x) = a(x - h)² - k, where (h, k) is the vertex.

What is the role of the coefficient 'c' in the quadratic equation?

• It represents the x-intercept of the quadratic function.

• It indicates the direction of the parabola (upward or downward).

• It represents the y-intercept of the quadratic function, which is the point where the graph crosses the y-axis.

• It determines the width of the parabola.

What is the maximum value of a quadratic function?

• The maximum value occurs at the vertex of the parabola when it opens downwards, representing the highest point on the graph.

• The maximum value is always equal to the y-intercept of the function.

• The maximum value can be found by taking the derivative and setting it to zero.

• The maximum value is the sum of the coefficients of the quadratic equation.

How can you find the vertex of a quadratic function in standard form?

• The vertex can be found in the table. It is the point in the middle of the repeating y values.

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

• The vertex can be found by averaging the x-intercepts of the function.

• The vertex is the maximum or minimum point of the function, determined by the leading coefficient.

What is the axis of symmetry in a quadratic function?

• A vertical line that divides the parabola into two mirror-image halves, given by the equation 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.

What are the x-intercepts of a quadratic function?

• The points where the graph of the quadratic function crosses the y-axis.

• The points where the graph of the quadratic function crosses the x-axis, also known as the solutions or roots of the equation.

• The maximum or minimum points of the quadratic function.

• The points where the graph of the quadratic function is tangent to the x-axis.

What other words mean x-intercepts?

• Solutions

• Intersections

• Coordinates

• Endpoints

What is the importance of the vertex in graphing a quadratic function?

• It indicates the x-intercepts of the graph.

• It provides a key point for graphing the parabola, indicating the maximum or minimum value and helping to determine the shape and direction of the graph.

• It shows the y-intercept of the graph.

• It determines the slope of the graph.

What is the vertex of a quadratic function?

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

• The highest or lowest point on the graph of a quadratic function, depending on whether it opens upwards or downwards.

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

• The midpoint of the line segment connecting the x-intercepts.