8.1-8.3 Review

Front

What is the axis of symmetry in a parabola?

Back

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

Front

How do you find the axis of symmetry for a quadratic function in the form f(x) = ax^2 + bx + c?

Back

The axis of symmetry can be found using the formula x = -b/(2a).

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation (opening upwards or downwards).

Front

If the vertex of a parabola is (h,k), what is the equation of the axis of symmetry?

Back

The equation of the axis of symmetry is x = h.

Front

What is the maximum height of a projectile modeled by a quadratic function?

Back

The maximum height can be found at the vertex of the parabola representing the projectile's height over time.

Front

Given the function h(x) = -5x^2 + 10x + 15, what is the maximum height?

Back

The maximum height is 20 meters.

Front

What does the 'a' value in a quadratic function indicate about the parabola?

Back

The 'a' value determines the direction of the parabola's opening: if 'a' is positive, it opens upwards; if 'a' is negative, it opens downwards.

Front

What is the significance of the y-intercept in a quadratic function?

Back

The y-intercept is the point where the graph intersects the y-axis, found by evaluating f(0).

Front

How can you determine if a quadratic function has a maximum or minimum value?

Back

If 'a' is positive, the function has a minimum value; if 'a' is negative, it has a maximum value.

Front

What is the standard form of a quadratic function?

Back

The standard form is f(x) = ax^2 + bx + c.