Flashcard on Algebra 2 released test - 2O, 4O - Dec 10 2024

Front

What is the inverse of g(x) = x² + 2?

Back

The inverse of g(x) = x² + 2 is not a function because it does not pass the horizontal line test.

Front

What is the y-intercept of the function y = 3 · 2^x?

Back

The y-intercept is (0, 3).

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if it passes the horizontal line test, meaning no horizontal line intersects the graph more than once.

Front

How do you factor the expression 7x + 47?

Back

The expression 7x + 47 can't be factored further.

Front

Factor the quadratic expression x² + 9x - 36.

Back

The factored form is (x + 12)(x - 3).

Front

What is the vertex form of a quadratic function?

Back

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

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a).

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is b² - 4ac and determines the nature of the roots.

Front

What does it mean for a quadratic function to have real roots?

Back

A quadratic function has real roots if the discriminant is greater than or equal to zero.

Front

How do you find the axis of symmetry for a quadratic function?

Back

The axis of symmetry is given by the formula x = -b/(2a).