Jun 26, 2018 · The function f (x) = -x^2 + 5 represents a downward-opening parabola with a vertex at (0, 5). The y-intercept is also at (0, 5) and the x-intercepts are at approximately (-√5, 0) and (√5, 0). …

Dec 6, 2017 · Conversely, if graph B shows a vertical line intersecting it at two points, then B cannot represent a function. In summary, use the vertical line test to identify whether each graph represents …

Apr 15, 2021 · To determine which graph represents the function f (x) = 4∣x∣, let's first analyze the characteristics of this function: Absolute Value Function: The function is an absolute value function.

Aug 9, 2023 · The graph that represents the function f (x) = 2x−44x2−16 is that of the line 2x + 4, with a discontinuity at (2, 8). Therefore, the correct choice is option B. This occurs because the function …

May 26, 2023 · To find which graph represents the function p(x) = ∣x −1∣, we first need to understand the characteristics of absolute value functions. Basic Shape of Absolute Value Function: The function ∣x∣ …

Oct 24, 2022 · The function g (x) = 3 cos (x + 2) + 1 represents a cosine curve transformed by shifting it left 2 units, stretching the amplitude to 3, and moving it up 1 unit. The resulting graph will oscillate …

Sep 17, 2018 · To determine which graph represents a function, we can use the Vertical Line Test. This test states that if a vertical line intersects the graph at more than one point at any given x-value, then …

Jan 11, 2019 · To determine which graph represents the function f (x) = −∣x∣ − 2, we first need to analyze the characteristics of this function step-by-step. Absolute Value Function: The absolute value …

Feb 6, 2018 · The vertex form of a quadratic function indicates the position of the vertex and the direction in which it opens. Since f (x) = (x − 3)2 is in vertex form, its properties will follow the …

Oct 2, 2016 · When identifying a graph that represents a function with a specific initial value, we focus on the point where the graph intersects the y-axis, also known as the y-intercept. The initial value is …