Answer:
A
Step-by-step explanation:
Given the parent function y = x², then
y = (x + a) represents a horizontal translation
• If a > 0 , then shift to the left of a units
• If a < 0, then shift to the right of a units
Thus a shift of 3 units left ⇒ y = (x + 3)²
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A vertical stretch of a units, stretches away from the x- axis
A vertical compression of a units, compresses towards the x- axis
• | a | > 1 is a stretch
• 0 < | a | < 1 is a compression
Thus a vertical stretch of 4 ⇒ y = 4(x + 3)²
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A reflection in the x- axis, negates the y- coordinate
y = - 4(x + 3)² → A
