WebStep 1: Extend a perpendicular line segment from A A to the reflection line and measure it. Since the reflection line is perfectly horizontal, a line perpendicular to it would be perfectly vertical. Step 2: Extend the line segment in the same direction and by the same measure. Answer: A' A′ is at (-6,1) (−6,1). Your turn! Practice problem WebNov 5, 2024 · A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation. Given that; The parent function is, ⇒ f (x) = x² Now, After the reflection across the x - axis, we get; f (x) = - f (x) Thus, The function is, g (x) = - x²
Stretching, Compressing, or Reflecting an Exponential Function
WebExample 1: Determine algebraically whether the given function f (x) = −3x3 + 2x even, odd, or neither. Solution: Let us substitute −x into the function f (x) = 3x 3 + 2x, and then simplify. A function is odd if −f (x) = f (−x) Let us find f (-x) f (x) = −3x 3 + 2x f (−x) = -3 (−x) 3 + 2 (−x) = −3 (−1) 3 (x) 3 + 2 (−x) = 3x 3 − 2x −−− (1) Web5. The graph of F(x), shown below, resembles the graph of G(x)=x2, but it has been flipped over the x-axis, stretched vertically by a factor of 3, shifted down 4 units, and left 1 unit. … new lidl wishaw
Reflection Over The X and Y Axis: The Complete Guide
WebFor every value of the curve f (x), its reflection has the negative, -f (x). Try it, with, say, y = x, and y = x^2, y = sqrt (x) x>0, y = .5x+1, etc. ( 3 votes) Evan Sullivan 5 years ago How do you determine how the original equation is altered on the graph? • 2 comments ( 3 votes) Deng Leon 7 years ago WebWrite the explicit formula for each sequence. Then generate the first five terms. a_ {1}=1024, r=0.5 a = 1024 r algebra2 a In the following problem, sketch the graph of given function on the same coordinate system, sketch the reflection of the graph over the line y = x. y = g (x) = -x ^2 2 + 5 b Does the reflection represent a function? WebThe graph of 2 2 3 x y + = is the graph of 3 x y = A. horizontally stretched by a factor of 2 about the y-axis and then translated left 1 B. horizontally stretched by a factor of 1 2 about the y-axis and then translated left 2 C. horizontally stretched by a factor of 2 about the y-axis and vertically stretched by a factor of 9 about the x-axis ... new lids for pnk thisle stengl ware