Flashcard on different standards in Algebra 2 - 1O, 4O - Dec 11 2024

Front

What type of variation does the equation represent?

Back

Joint variation occurs when a variable depends on two or more other variables. For example, if y varies jointly with x and z, it can be expressed as y = kxz, where k is a constant.

Front

Solve for x using the Quadratic Formula: 2x^2 + 6x = 7

Back

x = -3 ± √(3) / 2

Front

What is the location of the relative minimum of the graphed function?

Back

The relative minimum is at the point (0, -3).

Front

What is the equation for f(x) if it has a horizontal shift of -2, a vertical shift of 3, and a vertical stretch of 4?

Back

f(x) = 4(x + 2)^2 + 3

Front

Find the Domain using interval notation for the function defined as f(x) = 1/x.

Back

The domain is (0, ∞).

Front

What is the Quadratic Formula?

Back

The Quadratic Formula is used to find the solutions of a quadratic equation and is given by x = (-b ± √(b² - 4ac)) / (2a).

Front

Define Direct Variation.

Back

Direct variation occurs when one variable is a constant multiple of another. It can be expressed as y = kx, where k is a non-zero constant.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax^2 + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

What does the vertex of a parabola represent?

Back

The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upwards or downwards.

Front

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

Back

The axis of symmetry can be found using the formula x = -b / (2a) from the standard form of the quadratic equation.