f(x)=(x+2)2+3The function represents a parabola in the xy-plane. Which of the following is an equivalent form of f in which the y-intercept of the graph of f appears as a constant or coefficient?Choose 1 answer:(A) f(x)=x2+4x+3(B) f(x)=x2+4x+7(C) f(x)=(x+1)(x+3)⊣(D) f(x)=(x+2)(x+5)
Q. f(x)=(x+2)2+3The function represents a parabola in the xy-plane. Which of the following is an equivalent form of f in which the y-intercept of the graph of f appears as a constant or coefficient?Choose 1 answer:(A) f(x)=x2+4x+3(B) f(x)=x2+4x+7(C) f(x)=(x+1)(x+3)⊣(D) f(x)=(x+2)(x+5)
Expand and Simplify: To find an equivalent form of the function where the y-intercept is visible, we need to expand the squared term and simplify the expression.f(x)=(x+2)2+3Expand the squared term:f(x)=(x2+4x+4)+3Combine like terms:f(x)=x2+4x+7
Check Answer Choices: Now, we need to check the answer choices to see which one matches the expanded form of the function.(A) f(x)=x2+4x+3 (This does not match our expanded form.)(B) f(x)=x2+4x+7 (This matches our expanded form.)(C) f(x)=(x+1)(x+3) (This is factored form and does not show the y-intercept directly.)(D) f(x)=(x+2)(x+5) (This is factored form and does not show the y-intercept directly.)
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