A certain statue at a monument has a perimeter of rope hung by poles. Between each pole the rope forms a U-shape that, like a parabola, can be expressed by the equation y=(x−32)2+54

Question

. Suppose you were to graph the equation; at what point would the graph cross the y-axis?(1 point)
y=

Answer 1

To find at what point the graph of the equation \( y = (x - 32)^2 + 54 \) crosses the y-axis, we need to evaluate the equation at \( x = 0 \), since the y-axis corresponds to \( x = 0 \).

Substituting \( x = 0 \) into the equation:

\[ y = (0 - 32)^2 + 54 \] \[ y = (-32)^2 + 54 \] \[ y = 1024 + 54 \] \[ y = 1078 \]

Therefore, the graph crosses the y-axis at the point \((0, 1078)\).

So, \( y = 1078 \).