EOC Review Day 6

Front

What is a binomial?

Back

A binomial is a polynomial with two terms, typically in the form of (a + b) or (a - b).

Front

How do you factor a quadratic expression like x² - 13x - 30?

Back

To factor a quadratic expression, find two numbers that multiply to the constant term (-30) and add to the coefficient of the linear term (-13). In this case, the factors are (x + 2)(x - 15).

Front

What is the axis of symmetry in a quadratic equation?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror images. For the equation y = a(x - h)² + k, the axis of symmetry is x = h.

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point of the parabola, depending on whether it opens upwards or downwards. It can be found using the formula (h, k) from the vertex form of a quadratic equation.

Front

What does the range of a quadratic function represent?

Back

The range of a quadratic function is the set of possible output values (y-values) of the function. For a downward-opening parabola, the range is typically y ≤ k, where k is the y-coordinate of the vertex.

Front

How do you find the y-intercept of a quadratic equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y. The y-intercept is the point where the graph crosses the y-axis.

Front

What is a transformation in the context of graphing functions?

Back

A transformation is a change made to the graph of a function, such as shifting, stretching, compressing, or reflecting the graph.

Front

What is a vertical stretch in graph transformations?

Back

A vertical stretch occurs when the output values of a function are multiplied by a factor greater than 1, making the graph taller.

Front

What is a translation in graph transformations?

Back

A translation is a shift of the graph in a specific direction without changing its shape. For example, translating a graph 5 units to the right means adding 5 to the x-values.

Front

How do you solve a quadratic equation like 16 - 2x² = -64?

Back

To solve, first rearrange the equation to standard form (2x² = 80), then divide by 2 (x² = 40), and finally take the square root (x = ±√40).