Unit 5 & 6 Practice #2 Quadratics & Complex

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point of the parabola represented by the quadratic function, given by the coordinates (x, y) where x = -b/(2a).

Front

How do you find the maximum height of a projectile?

Back

To find the maximum height, use the formula for the x-coordinate of the vertex, x = -b/(2a), and substitute this value into the quadratic equation to find the corresponding y-coordinate.

Front

What does the y-intercept represent in a quadratic function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, which occurs when x = 0.

Front

How do you determine the time it takes for an object to reach the ground from a height?

Back

Set the height function h(t) equal to zero and solve for t.

Front

What is the standard form of a quadratic function?

Back

The standard form is given by f(x) = ax^2 + bx + c, where a, b, and c are constants.

Front

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

Back

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

Front

How do you find the height of a projectile at a specific time?

Back

Substitute the specific time value into the height function h(t) to calculate the height.

Front

What is the formula for dividing complex numbers?

Back

To divide complex numbers, multiply the numerator and denominator by the conjugate of the denominator.

Front

What is the conjugate of a complex number a + bi?

Back

The conjugate is a - bi, where a and b are real numbers.

Front

How do you find the roots of a quadratic equation?

Back

Use the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a).