F(x)+x^2-3x-2x is shifted 4 units left. The result is g(x). What is g(x)

g(x) = x² + 5x + 2

Step-by-step explanation:

If a function is f(x) = x²

And this function is shifted 4 units left then the rule to be followed is,

g(x) = f(x + 4)

Following the same rule,

For a function f(x) = x² - 3x - 2 when shifted 4 units to the left,

g(x) = f(x + 4)

g(x) = (x + 4)² - 3(x + 4) - 2

      = x² + 8x + 16 - 3x - 12 - 2

      = x² + 5x + 2

Therefore, g(x) = x² + 5x + 2 will be the transformed function.

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

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it has the same slope and a different y-intercept

hope this : )