ccss.hsa-sse.a.q.a1.gff.11 - Select all true statements about the graph that represents y=2x(x-11)

Select all true statements about the graph that represents y=2x(x-11)

208 viewed last edited 2 years ago

ccss.hsa-sse.a.q.a1.gff.11 ccss.hsf-if.c.7.a.q.a1.gff.11 hsa-sse.a hsf-if.c.7.a selecting the true statement quadratic functions

Anonymous

0

Its x-intercepts are at (-2,0) and (11,0).
Its x-intercepts are at (0,0) and (11,0).
Its x-intercepts are at (2,0) and (-11,0).
The x-coordinate of its vertex is 4.5.
The x-coordinate of its vertex is 5.5.

Sangeetha Pulapaka (last edited 2 years ago) (Expert, Educator @Qalaxia)

0

Options 2 and 5 are the correct options.

The x-intercept of the function y = 2x(x-11) can be found by plugging in y = 0,

So we have 2x(x-11) = 0

2x = 0 ; x - 11 = 0

x = 0 ; x = 11

So (0,0) and (11,0) are the x-intercepts of the given quadratic function.

The given function is y = 2x(x-11)= 2x^{2} - 22x

Here a = 2, b = -22, and c = 0.

The vertex (h, k) of the parabola is the maximum or minimum point on the graph of the quadratic function. The point h represents the x-coordinate and the point h represents the y-coordinate.

It can be found by the formula h = -\frac{b}{2a}

Plugging in the known values h = -\frac{-22}{-4} = 5.5