Concave up is U-shaped.
There will be a inflection/critical point f'(x) =0 then a negative slope f'(x) = neg then another inflection/critical point f'(x) =0 at the bottom of the U-shape then a positive slope to last inflection/critical point. The interval for the Concave Up shape is the first and last inflection points.
Answer and Explanation:
You got the first one right!
2. You do the same as you did for the first one: to combine the exponents, you multiple 2 by 9 = 18, and now 18 is your new exponent.
, which is the answer
3. Here, you can split up the inside so that you have:
, which is the answer
Hope this helps! Please give me brainliest if possible.
Answer:
C
Step-by-step explanation:
We can use the factored form of the quadratic equation, given by:

Where <em>a</em> is the leading coefficient and <em>p</em> and <em>q</em> are the zeros.
We have zeros <em>x</em> = -2 and <em>x</em> = 3. So, let <em>p</em> = -2 and <em>q</em> = 3:

Next, we are given that our <em>y-</em>intercept is (0, -30).
In other words, when <em>x</em> = 0, <em>y</em> = -30. So:

Solve for <em>a:</em>
<em />
<em />
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Hence, our factored equation is:

For the standard form, expand:

Simplify:

Distribute:

Our answer is C.
Answer:
Step-by-step explanation:
Slope = (-1-3)/(6+2) = -4/8 = -1/2
Equation of a line is
y-y1 = m(x-x1)
y-3 = (-1/2)(x+2)
y = 3 + (-1/2)(x+2)