Fill in the blanks to complete the statement. The graph of $\mathrm { P } ( \mathrm { x } ) = - 0.4 ( \mathrm { x } - 7 ) ^ { 2 }$ is a parabola with ــــــــــ$x$-intercept(s). Its vertex is theــــــــــ point of the graph and has coordinatesــــــــــــــــ
A) no; maximum (or highest); $( - 0,4,7 )$
B) one; minimum (or lowest); $( 7,0 )$
C) two; maximum (or highest); $( 7,0 )$
D) one; maximum (or highest); $( 7,0 )$

Question

Quizplus · Accepted Answer

The parabola opens downwards due to the negative coefficient, so it has a maximum point. The vertex form shows the vertex at $(7, 0)$, and since it is a downward-opening parabola, it touches the x-axis at one point, making it the x-intercept.

Fill in the Blanks to Complete the Statement P(x)=−0.4(x−7)2\mathrm { P } ( \mathrm { x } ) = - 0.4 ( \mathrm { x } - 7 ) ^ { 2 }P(x)=−0.4(x−7)2

Fill in the Blanks to Complete the Statement $\mathrm { P } ( \mathrm { x } ) = - 0.4 ( \mathrm { x } - 7 ) ^ { 2 }$