ALGEBRA II Mid-Term (Review/Flashcard/Exam)

Front

What is the vertex of the quadratic function f(x) = (x - 4)² + 2?

Back

The vertex is (4, 2).

Front

What is the axis of symmetry for the function f(x) = (x - 4)² + 2?

Back

The axis of symmetry is x = 4.

Front

How do you find the zeros of the polynomial function g(x) = x⁴ + 8x³ + 11x² - 32x - 60?

Back

Set g(x) = 0 and use factoring or the Rational Root Theorem to find the zeros.

Front

What are the zeros of the polynomial function g(x) = x⁴ + 8x³ + 11x² - 32x - 60?

Back

The zeros are -5, -3, -2, and 2.

Front

What is the standard form of a complex number?

Back

The standard form is a + bi, where a and b are real numbers.

Front

Perform the operation: -4i(4 + 2i). What is the result in standard form?

Back

The result is 8 - 16i.

Front

What is the formula for the line of best fit in linear regression?

Back

The line of best fit is typically expressed as y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you estimate a value using a linear regression equation?

Back

Substitute the given x-value into the equation to find the corresponding y-value.

Front

Perform the operation: (-8 - 9i)(-7 + 9i). What is the result in standard form?

Back

The result is 137 - 9i.

Front

What is the definition of a polynomial function?

Back

A polynomial function is a function that can be expressed in the form f(x) = a_nx^n + a_{n-1}x^{n-1} + ... + a_1x + a_0, where a_n, a_{n-1}, ..., a_0 are constants and n is a non-negative integer.