EOC Review Flashcard (19/20)

Front

What is the y-intercept of the quadratic function (x - 3)² - 5?

Back

The y-intercept is 4.

Front

What percent of the liquid evaporates per week if the amount remaining is modeled by y = 100(0.78)ⁿ?

Back

Approximately 22% of the liquid evaporates per week.

Front

How do you find the x-coordinate of the vertex of the quadratic function h(t) = -3t² + 36t?

Back

The x-coordinate of the vertex is found using the formula x = -b/(2a). Here, it is 6.

Front

What expression is equivalent to x² - 81?

Back

The equivalent expression is (x - 9)(x + 9).

Front

What is the missing exponent in the expression x^5?

Back

The missing exponent is 5.

Front

Define a quadratic function.

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax² + bx + c.

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation.

Front

Explain the significance of the y-intercept in a function.

Back

The y-intercept is the point where the graph of the function crosses the y-axis, indicating the output value when the input is zero.

Front

What does the term 'evaporation' refer to in a scientific context?

Back

Evaporation is the process by which liquid turns into vapor, often influenced by temperature and pressure.

Front

How do you determine the roots of a quadratic equation?

Back

The roots can be found using the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a).