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Tren17
11.01.2022 •
Mathematics
3x + 2y =- 8x + 44
x-intercept (4,0)
y-intercept- (0,22)
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Ответ:
Question :
What is the equation of y = x^3 with the given transformations? Vertical compression by a factor of 1/7 , horizontal shift 8 units to the left, reflection across the x-axis.
y = (-1/7) (x+8)^3 or -1/7(x + 8)
Step-by-step explanation:
y = x^3 {compression factor places coefficient out in front of the polynomial}
y = (1/7) x^3 {horizontal shift 8 units to the left changes all x to x + 8}
y = (1/7) (x+8)^3 {Reflection across the x axis makes all y values negatives of one another}
-y = (1/7) (x+8)^3 {Now multiply by -1 to get y = f(x) form}
y = (-1/7) (x+8)^3 or -1/7(x + 8)