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Start by identifying a and b. Recall that for the vertex, the x-coordinate is - b2a and the y-coordinate is f(- b2a).
Vertex: ( 52,- 94)
Maximum or Minimum: Minimum
For a quadratic function f(x)=ax^2+bx+c, the y-coordinate of the vertex is the minimum value of the function when a>0.
Let's identify the values of a and b in the given quadratic function.
f(x)=x^2-5x+4
⇕
f(x)= 1x^2 - 5x+4
Now we have to calculate f( 52). To do so, we will substitute 52 for x in the given function.
x= 52
Calculate power
Multiply
Add and subtract terms
This tells us that the coordinates of the vertex are ( 52,- 94), and this is the minimum point of the given function.