(Alg.2) 4.5 (Flashcard) Converting and Transformations.

Front

Convert the expression f(x) = (6y - 5)(9y + 4) to standard form.

Back

f(x) = 54y^2 - 21y - 20.

Front

What transformation occurs in the function y = x^2 + 2 compared to the parent function?

Back

Vertical shift up.

Front

Given f(x) = (x + 6)² - 2, how is it transformed from the parent function?

Back

Horizontal shift left 6, vertical shift down 2.

Front

Match the equation y = -(x)^2 - 4 to its description.

Back

Reflected over x and down 4.

Front

Convert to standard form: y = -2(x - 3)^2 + 6.

Back

y = -2x^2 + 12x - 12.

Front

What is the standard form of a quadratic equation?

Back

The standard form is y = ax^2 + bx + c.

Front

What does a positive 'a' value in a quadratic function indicate about its graph?

Back

The graph opens upwards.

Front

What does a negative 'a' value in a quadratic function indicate about its graph?

Back

The graph opens downwards.

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.

Front

How do you find the vertex from the standard form of a quadratic equation?

Back

Use the formula h = -b/(2a) and k = f(h).