Question

determining the graph of a quadratic function
which graph could represent the function ( f(x) = (x + 3.8)^2 - 2.7 )?

Explanation:

Step1: Identify vertex form

Quadratic vertex form: $f(x)=a(x-h)^2+k$
Given: $f(x)=(x+3.8)^2-2.7 = (x-(-3.8))^2+(-2.7)$

Step2: Locate vertex coordinates

Vertex is $(h,k)=(-3.8, -2.7)$

Step3: Check parabola direction

Since $a=1>0$, parabola opens upward.

Step4: Match to graph

Vertex is in 3rd quadrant (negative x,y), opens up.

Answer:

The fourth graph (rightmost one, with vertex in the third quadrant opening upward)