Answer :
Answer:
y = (x + 2)^2 - 3
Step-by-step explanation:
f(x) = y = x^2
shifted down 3 and left 2
Left 2 means : f(x + 2)
Down 3 means: f(x) - 3
Together: f(x+2) - 3 = y
y = (x + 2)^2 - 3
The vertex of the parabola is at (-2, -3). Then the equation of the new parabola will be y = (x + 2)² - 3.
What is the equation of the parabola?
Let the point (h, k) be the vertex of the parabola and a be the leading coefficient.
Then the equation of the parabola will be given as,
y = a(x - h)² + k
The equation of the parabola is given below.
y = x²
The vertex of the parabola y = x² is at the origin.
The parabola y = x² is shifted down by 3 units and to the left by 2 units.
Then the vertex of the parabola is at (-2, -3).
Then the equation of the new parabola will be
y = (x - h)² + k
y = (x + 2)² - 3
The vertex of the parabola is at (-2, -3). Then the equation of the new parabola will be y = (x + 2)² - 3.
More about the equation of parabola link is given below.
https://brainly.com/question/20333425
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