$\textrm{Use the formula } \frac{-b}{2a} \textrm{ to find the vertex}\\ \\ \frac{-10}{2} = -5\\ \\ \textrm{In order to find the y value plug in -5 back into the function}\\ \\ y=(-5)^2+10(-5)+16\\ y=-9\\\\ \textrm{The vertex of the function is} (-5,-9)$

Determine if the parabola will open up or down:

$a > 0 \\ \\ 1>0$

Since the value of a is positive, the parabola will open upwards

Find the x and y intercepts:

Factor $y = x^2+10x + 16$ to find the x intercepts

(x+8)(x+2)

x + 8 = 0

x = -8

x + 2 = 0

x = -2

x intercepts:

x = -2

x = -8

Find the y intercept

$y = 0^2+10(0) + 16\\\\ y=16$

Hence, C. Graph A best represents the quadratic function $y = x^2+10x + 16$

6 0

2 years ago

For a pair of similar triangles, corresponding sides are always congruent.<br> True or false?

baherus [9]

That's false.
For similar triangles, corresponding angles are congruent.
Corresponding sides are in the same ratio but rarely congruent.
(They're congruent only if the ratio is ' 1 ', i.e. the triangles are congruent
as well as being similar.)

6 0

3 years ago

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