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

Answer 1

To find the point where the graph crosses the y-axis, we need to determine the value of \( y \) when \( x = 0 \). We substitute \( x = 0 \) into the equation:

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

Calculating that gives:

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

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