Question 964268
Graph the quadratic function. Indicate the x-intercepts, y-intercepts, domain, range, axis of symmetry, vertex, and maximum or minimum of the function. F(x)=-2x(to the 2nd power)+8x-13
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f(x)=2x^2+8x-13
complete the square:
f(x)=2(x^2+4x+4)-8-13
f(x)=2(x+2)^2-21
..
x-intercepts
set y=0
2x^2+8x-13=0
use quadratic formula to solve to solve for x:
{{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}
a=2, b=8, c=-13
ans: 
x=-5.24
or
x=1.24
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y-intercepts
set x=0
y=-13
..
domain: (-∞, ∞) (all real numbers)
range: (-21, ∞)
axis of symmetry: x=2
vertex: (-2, -21)
minimum: -21
..
see graph below:
{{{ graph( 300, 200, -6, 5, -30, 10, 2x^2+8x-13) }}}