IM3 Short Fall Review

Front

What is the vertex of the quadratic function y = 2(x - 5)² + 6?

Back

(5, 6)

Front

What type of function is represented by the equation y = 2x³ - 3x + 1?

Back

Cubic function

Front

Identify the linear equation from the following options: y = \frac{1}{x}, y = x² + 2x + 1, y = 2x + 3, y = \sqrt{x}.

Back

y = 2x + 3

Front

What is the correct equation for the graph that opens upwards and has its vertex at (-2, -1)?

Back

f(x) = (x + 2)² - 1

Front

Rewrite the exponential equation 3⁴ = 81 in logarithmic form.

Back

log₃81 = 4

Front

What is the standard form of a quadratic function?

Back

y = ax² + bx + c, where a ≠ 0.

Front

What is the definition of a linear equation?

Back

An equation that graphs to a straight line, typically in the form y = mx + b.

Front

What is the vertex form of a quadratic function?

Back

y = a(x - h)² + k, where (h, k) is the vertex.

Front

How do you find the vertex of a quadratic function in standard form?

Back

Use the formula h = -b/(2a) to find the x-coordinate, then substitute back to find y.

Front

What is the difference between a linear function and a quadratic function?

Back

Linear functions have a degree of 1, while quadratic functions have a degree of 2.