Questions: The function h (graphed below in blue) is a transformation of function v (graphed in black). What is the formula for function h in terms of v?

The function h (graphed below in blue) is a transformation of function v (graphed in black). What is the formula for function h in terms of v?
Transcript text: The function $h$ (graphed below in blue) is a transformation of function $v$ (graphed in black). What is the formula for function $h$ in terms of $v$ ?
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Solution

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Solution Steps

Step 1: Find the vertex of v(x)

The vertex of v(x) is at (0, 4).

Step 2: Find the vertex of h(x)

The vertex of h(x) is at (-6, 4).

Step 3: Determine the horizontal shift

The vertex of h(x) is 6 units to the left of the vertex of v(x). This indicates a horizontal shift of 6 units to the left.

Step 4: Write the transformation

A horizontal shift of 6 units to the left can be represented as v(x + 6).

Final Answer

h(x) = v(x + 6)

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