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serg [7]
4 years ago
7

How are the graphs of f(x) = x^2 and g(x) = -(x + 2)^2 - 4 related?

Mathematics
2 answers:
Anit [1.1K]4 years ago
8 0

Answer: g(x) is shifted left 2 units, down 4 units, and reflected over the x-axis.

<u>Step-by-step explanation:</u>

The vertex form of a quadratic equation is: y = a(x - h)² + k     where

  • a is the vertical stretch
  • -a is a reflection over the x-axis
  • (h, k) is the vertex
  • --> h is the horizontal shift (positive is RIGHT, negative is LEFT)
  • --> k is the vertical shift (positive is UP, negative is DOWN)

f(x) = x²

g(x) = -(x + 2)² - 4

         a = -1     reflected over the x-axis

         h = -2    shifted left 2 units

         k = -4     shifted 4 units down

lara [203]4 years ago
4 0

Answer:

g(x) is shifted left 2 units, down 4 units, and reflected over the x-axis.

Step-by-step explanation:

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