an air show is scheduled for an airport located on a coordinate system measured in miles. The air traffic controllers have closed the airspace, modeled by a quadratic equation, to non-air show traffic. The boundary of the closed airspace starts at the vertex at (10, 6) and passes through the point (12, 7). A commuter jet has filed a flight plan that takes it along a linear path from (–18, 14) to (16, –13). Which system of equations can be used to determine whether the commuter jet’s flight path intersects the closed airspace?

y=1/4 (x-5)^2+10
y=-1/2x+5

y=1/4(x-5)^2+10
y=-2x-22

y=1/4(x-10)^2+6
y=-27/34x-5/17

y=1/4(x-10)^2+5
y=-2x-22

Question

an air show is scheduled for an airport located on a coordinate system measured in miles. The air traffic controllers have closed the airspace, modeled by a quadratic equation, to non-air show traffic. The boundary of the closed airspace starts at the vertex at (10, 6) and passes through the point (12, 7). A commuter jet has filed a flight plan that takes it along a linear path from (–18, 14) to (16, –13). Which system of equations can be used to determine whether the commuter jet’s flight path intersects the closed airspace?

y=1/4 (x-5)^2+10
y=-1/2x+5

y=1/4(x-5)^2+10
y=-2x-22

y=1/4(x-10)^2+6
y=-27/34x-5/17

y=1/4(x-10)^2+5
y=-2x-22