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Lelu [443]
3 years ago
13

What is the vertex form of 4x^2+4x-12

Mathematics
2 answers:
Olin [163]3 years ago
5 0

Answer:

(-1/2, -13/4)

Step-by-step explanation:

Start with y = 4x^2+4x-12.  Put this into the form y = a(x-h)^2 + k, where (h, k) represents the vertex.

Factor 4 out of this expression, obtaining:  y = 4(x^2 + x - 3).

Next, complete the square of the quantity inside parentheses:

y = 4[ x^2 + x + 1/4 - 1/4 - 3 ], or

y  = 4[ (x + 1/2)^2 - 13/4 ]

We can now conclude that the vertex is (-1/2, -13/4).

REY [17]3 years ago
3 0

Answer:

(-0.5, -13)

Step-by-step explanation:

You might be interested in
F(x) = x^2 +2x-16/X-2
Lesechka [4]

Answer:

\frac{x^3+2x^2-16-2x}{x}

Step-by-step explanation:

\frac{x^3+2x^2-16-2x}{x}

3 0
3 years ago
4 less than a number and 9
tangare [24]

Answer:

9x-4

Step-by-step explanation:

9x-4 4 less = -4. number = x. 9 is by x.

3 0
3 years ago
15. Which best reflects a correct conversion of an equation in exponential form to logarithmic form?
kkurt [141]

Answer:

5^x = 25

\log_525 = x

Step-by-step explanation:

Given

Convert from exponential to logarithm

(a) to (d)

Required

Which of the options is correct

Given that:

a^b = c --- Exponential

The logarithm form is:

b = \log_ac

From (a) to (d), only option (c) is correct.

Because it follows the above pattern

i.e.

5^x = 25 \to\to  a^b = c

a = 5   b = x   c = 25

b = \log_ac becomes

x = \log_525

or

\log_525 = x

3 0
2 years ago
Billy had 55 stamps in his collection. billy’s older brother tommy had 73 stamps in his collection. how many stamps did the two
Rudik [331]
No.of stamps Billy had = 55

Number of stamps Billy's older brother had = 73

So total number of stamps two brother have together = 73 + 55
                                                                                     = 128

6 0
3 years ago
Pls help me on this.
bogdanovich [222]

9514 1404 393

Answer:

  domain: (-4, -2) ∪ [-1, 4]

  range: (-5, 3)

Step-by-step explanation:

<u>Domain</u>

The domain is the horizontal extent of the graph. Here, it is comprised of two intervals. The left interval is open, as the function is not defined for x-values of -4 or -2. That interval is (-4, -2). The right interval is closed, as the function is defined for both x=-1 and x=4. That interval is [-1, 4]. The domain is the union of these two intervals.

  D: (-4, -2) ∪ [-1, 4]

__

<u>Range</u>

The range is the vertical extent of the graph. The left portion of the graph has a range from -5 to 3, but neither of those values is included in it. That is, the range is an open interval: (-5, 3).

The right portion of the graph has a range from 1 to 2, including both of those values. This interval is already included in the interval (-5, 3), so only one interval is needed to describe the range:

  R: (-5, 3)

8 0
3 years ago
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