WebReflect a Function About the x-Axis. To reflect a function about the x-axis, we want to negate all of the y values. We do that because the horizontal position stays the same, so the x-coordinate will stay the same. What changes is the vertical position, so we just switch the sign on the y-coordinate. y=−f(x) Let's walk through an example. Example WebJun 30, 2011 · f(−x) = −3x + 2 (replace every " x " with a " −x "). Now, graphing those on the same axes, we have: Note that the effect of the "minus" in f(−x) is to reflect the blue original line (y = 3x + 2) in the y -axis, and we get the green line, which is (y = −3x + 2). The green line also goes through 2 on the y -axis. Further Example
22. f(x) is stretched horizontally by a factor of 2 and …
WebThe graph of y=k x is the graph of y= x scaled by a factor of k . If k<0, it's also reflected (or "flipped") across the x-axis. In this worked example, we find the equation of an absolute value function from its graph. Sort by: Top Voted. Questions Tips & Thanks. ... It's just exactly what F of X is, but flipped over the X axis. So it's just ... WebSep 14, 2024 · Reflect \(f\) through the \(x\)-axis, move the graph \(3\) units right, then shift the graph up \(12\) units. Reflect \(f\) through the \(x\)-axis, stretch it vertically by a factor of \(4\), then shift it down \(5\) units. Reflect \(f\) through the \(y\)-axis, shift it left (9\) units, then shift it up \(8\) units. tata naskah akreditasi
Which graph shows f(x) = x reflected across the x-axis, translated …
WebThe function f (x) = 3/4 (10)-x is reflected across the x-axis to create the function g (x). Which ordered pair is on g (x)? (2, -3/400) Which best describes the range of the function f (x) = 2/3 (6)x after it has been reflected over the x-axis? all real numbers less than 0 Students also viewed Reflections of Exponential Functions: Quiz 10 terms WebMar 2, 2024 · To reflect a point or object over the line y = x, switch the values of x to y and values of y to x. This process applies even for functions – meaning, to reflect a function over y = x, switch the input and output values. When given the shape graphed on the x y -plane, switch the x and y coordinates to find the resulting image. Webf (x) = f (x)−k f ( x) = f ( x) - k - The graph is shifted down k k units. Vertical Shift: None The sign of a a describes the reflection across the x-axis. −a - a means the graph is reflected across the x-axis. Reflection about the x-axis: None The value of a a describes the vertical stretch or compression of the graph. tatanan politik adalah