Algebra I Category 1 - Review

Front

What is the range of a graph?

Back

The range of a graph is the set of all possible output values (y-values) that a function can produce. For example, if the range is 1 ≤ y ≤ 5, it means y can take any value from 1 to 5, inclusive.

Front

What does HOY stand for in relation to horizontal lines?

Back

HOY stands for Horizontal lines have Zero slopes, and their equations are written as Y = #, indicating they cross the y-axis at a specific point.

Front

What does f(-5) mean in a function f(x)?

Back

f(-5) means to substitute -5 for x in the function f(x). For example, if f(x) = 2x + 3, then f(-5) = 2(-5) + 3 = -10 + 3 = -7.

Front

How do you write a quadratic equation given points?

Back

To write a quadratic equation that goes through specific points, you can use the form y = ax^2 + bx + c and solve for a, b, and c using the coordinates of the points.

Front

What is the factored form of a quadratic function?

Back

The factored form of a quadratic function is expressed as g(x) = (x + p)(x + q), where p and q are the roots of the equation.

Front

What is the vertex of a parabola?

Back

The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upwards or downwards. It can be found using the formula x = -b/(2a) for the quadratic equation ax^2 + bx + c.

Front

What is the difference between the domain and range of a function?

Back

The domain of a function is the set of all possible input values (x-values), while the range is the set of all possible output values (y-values).

Front

What does it mean for a function to be quadratic?

Back

A quadratic function is a polynomial function of degree 2, typically written in the form f(x) = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.

Front

How do you find the x-intercepts of a quadratic function?

Back

To find the x-intercepts of a quadratic function, set f(x) = 0 and solve the equation ax^2 + bx + c = 0 using factoring, completing the square, or the quadratic formula.

Front

What is the quadratic formula?

Back

The quadratic formula is used to find the roots of a quadratic equation and is given by x = (-b ± √(b^2 - 4ac)) / (2a).