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**Unformatted text preview: **axis to find the points where the parabola touches the horizontal axis; ( ) and ( ) . ( ) ( ) ( ) Using the vertex of the parabola and either of the -intercepts, I can find the standard equation of the parabolic doorway, then use the equation to the maximum width of the 7 foot tall box. ( ) ( ) ( ) Use either of the -intercepts to find the leading coefficient . () () () Knowing that the box is 7 feet tall, I can enter 7 into the standard equation for (because represents height and represents width) and solve for . This means the box can have a maximum width of 6 feet. ( ) ( ) ( ) ( ) ( )...

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