Question 935284
Which statement is true about this function f(x)= -4x^2-8x+4
a) the range is less than or equal to 4
b) the range is less than or equal to 8
c) the domain is greater than or equal to 0
d) the domain is greater than or equal to -1
<pre>
{{{f(x) = - 4x^2 - 8x + 4}}}
Since a < 0, the parabola y will have a maximum
x-coordinate of vertex: {{{x = - b/2a}}}______{{{x = - (- 8)/2(- 4)}}}_____{{{x = 8/(- 8)}}}________{{{x = - 1}}}
{{{f(x) = - 4x^2 - 8x + 4}}}
With x-coordinate of the vertex of the parabola at: {{{x = - 1}}}, its y-coordinate is: 
{{{f(- 1) = - 4(- 1)^2 - 8(- 1) + 4}}}, or {{{f(- 1) = - 4 + 8 + 4}}}, or {{{f(- 1) = 8}}} 
Thus, the range of the parabola will be: {{{highlight_green(y <= 8)}}}