SOLUTION: Find the coordinates of the vertex and the equation of the axis of symmetry of the graph of each equation. y=x squared-3x-10

Question 79012This question is from textbook Algebra:Structure and Method
: Find the coordinates of the vertex and the equation of the axis of symmetry of the graph of each equation. y=x squared-3x-10 This question is from textbook Algebra:Structure and Method

Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
this is the equation of a parabola with the axis of symmetry parallel to the y-axis and opening upward

the axis of symmetry is midway between the points where the parabola crosses the x-axis (y=0)

... factoring gives (x-5)(x+2)=0 ... so the crossing points are (5,0) and (-2,0)

the axis of symmetry goes thru (1.5,0) and the equation is x=1.5 ... this is also the x value for the vertex

plugging into the original equation, y=2.25-4.5-10 ... so the vertex is (1.5,-12.25)
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