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Mathematics 23 Online
OpenStudy (anonymous):

ok what about this one f(x)=2x^2-8x+13

OpenStudy (dumbcow):

Since its in standard form, use \[x = -\frac{b}{2a}\] for line of symmetry, then substitute it back in to find y to determine the vertex

OpenStudy (anonymous):

i think 1 would be-2

OpenStudy (dumbcow):

be careful with the neg signs a double neg makes a positive

OpenStudy (anonymous):

so then 2

OpenStudy (dumbcow):

yes, now plug it back in to get y

OpenStudy (anonymous):

which would be a minimum value?

OpenStudy (dumbcow):

correct because the "x^2" coefficient is positive

OpenStudy (anonymous):

5 for y which would be theline of symetry

OpenStudy (dumbcow):

good, line of symmetry is always vertical so it will be "x="

OpenStudy (anonymous):

5

OpenStudy (dumbcow):

so vertex is at (2,5) graph goes upward draw a straight vertical line through vertex there is your line of symmetry

OpenStudy (anonymous):

what would the graph for this one look like

OpenStudy (anonymous):

it would not be downward

OpenStudy (dumbcow):

positive means up, negative means down it might help to plot another point try x = 1, y = 7 so plot a point at (2,5) then another point at (1,7) its symmetric so a 3rd point at (3,7) then draw a parabola going through these 3 points theres your graph

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