- #1

karush

Gold Member

MHB

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$\textbf{xy-plane}$ above shows one of the two points of intersection of the graphs of a linear function and and quadratic function.

The shown point of intersection has coordinates $\textbf{(v,w)}$ If the vertex of the graph of the quadratic function is at $\textbf{(4,19)}$,

what is the value of $\textbf{v}$?

${-6}\quad {6}\quad {5}\quad {7}\quad {8}$

ok before I plow into this one it seems obvious that v could not be known for certain by observation

(the graph does not look it is to scale)

so then we can only proceed with the intersections of the equations of

$$y=a(x-4)^2 +19 \quad y=\dfrac{9}{2}x-9$$

unless some other quickie could apply

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