SAT Question 75a32330: Nonlinear Equations In One Variable And Systems Of Equations In Two Variables answer and explanation with Desmos solution

Choice A is correct. The graph of a quadratic equation in the form $y=x^2+c$ has its vertex at $(0,c)$. The first equation in the given system of equations is $y=x^2+1.7$, so the graph of this quadratic equation has its vertex at $(0,1.7)$. The graph of a linear equation of the form $y=b-x$ has a slope of $-1$ and a y-intercept at $(0,b)$. The second equation in the given system of equations is $y=1.7-x$, so the graph of this linear equation has a slope of $-1$ and a y-intercept at $(0,1.7)$. Of the choices, only choice A has the graph of a quadratic equation with its vertex at $(0,1.7)$ and the graph of a linear equation with a slope of $-1$ and a y-intercept at $(0,1.7)$.