A function f is given, and the indicated transformations are applied to its graph (in the given order). Write the equation for the final transformed graph. f(x) = x^2; shift 6 units to the left and reflect

Oberblastmeister asked May 24, 2023

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Oberblastmeister asked May 24, 2023

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20 votes

Answer:

y=-(x+6)^2

Explanation:

Shifting 6 units left, we get:

$x^2 \longrightarrow (x+6)^2$

Reflecting over the y-axis. we get:

$(x+6)^2 \longrightarrow -(x+6)^2$

So, the final equation is

y=-(x+6)^2

Torinthiel answered May 31, 2023

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