Write a quadratic function in vertex form for the function whose graph has it's vertex at (5,4) and passes through the point (7,1)a quadratic function

y = - (x - 5)² + 4

the equation of a quadratic in standard form is

y = a(x - h)² + k ( where (h , k ) are the coordinates of the vertex and a is a multiplier )

given vertex = ( 5, 4 ) then

y = a(x - 5)² + 4 ( to find a substitute (7 , 1 ) into the equation )

1= 4a + 4

4a = - 3 ⇒ a = -

y = - (x - 5)² + 4 ← ( in vertex form )

i'm not sure i quite understand, could you provide more information?

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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