Unit 4A Day 2

Front

What is the equation for the axis of symmetry for a quadratic function?

Back

The equation for the axis of symmetry is x = -b/(2a), where a and b are coefficients from the quadratic equation in the form ax^2 + bx + c.

Front

What are x-intercepts in a graph?

Back

X-intercepts are the points where the graph crosses the x-axis, meaning the value of y is zero at these points.

Front

How do you find the x-intercepts of a quadratic function?

Back

To find the x-intercepts, set the quadratic equation equal to zero and solve for x.

Front

What is a maximum value in a quadratic function?

Back

The maximum value is the highest point on the graph of a quadratic function, occurring at the vertex if the parabola opens downwards.

Front

What is a minimum value in a quadratic function?

Back

The minimum value is the lowest point on the graph of a quadratic function, occurring at the vertex if the parabola opens upwards.

Front

What is the vertex of a quadratic function?

Back

The vertex is the point where the parabola changes direction, and it can be found using the formula (-b/(2a), f(-b/(2a))).

Front

What does the term 'parabola' refer to?

Back

A parabola is the U-shaped graph of a quadratic function.

Front

What is the significance of the axis of symmetry in a quadratic graph?

Back

The axis of symmetry divides the parabola into two mirror-image halves and passes through the vertex.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is y = ax^2 + bx + c.

Front

What does the coefficient 'a' determine in a quadratic function?

Back

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