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3 years ago

A function is in the form g(X) = ax^2 + d. If a is greater than 1 and d is negative, which could be the graph of g(x)?

Mathematics

1 answer:

romanna [79]3 years ago

8 0

Answer:

Option B

Step-by-step explanation:

Step-by-step explanation:

We have the function $g(x)=ax^2 +d$ then, by definition:

If $0$ then the graph is compressed vertically by a factor a.

If $|a| > 1$ then the graph is stretched vertically by a factor a

If $a$ then the graph is reflected on the x axis.

If $d> 0$ the graph moves vertically upwards d units.

If $d$ the graph moves vertically down d units.

We know that:

$a > 1$ then the graph is stretched vertically by a factor a

and

$d$ the graph moves vertically down d units

The searched graph is stretched vertically and its vertex is displaced downwards

The answer is option B

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Calculus question please

Ber [7]

Answer:

Continuous

Step-by-step explanation:

For the function to be continuous, f(x) must approach the same value as x approaches π from the left as the right.

f(π⁻) = f(π⁺)

lim(x→π) x sin x = lim(x→π) x tan x

π sin π = π tan π

0 = 0

Yes, the function is continuous.

6 0

3 years ago

In the function y = -5x2 + 5 , the graph will open down, be shifted up 5 units, and it will be wider than the parent function y

masya89 [10]

We are considering the function $y=f(x)=-5 x^{2} +5$

the graph of this function is the graph of the parent function $y=g(x)= x^{2}$ after applying the following steps.

1. multiply by -1:

$-x^{2}$ is $x^{2}$ reflected with respect to the x-axis.

2. multiply by 5:

$-5x^{2}$ is $-x^{2}$ shrinked towards the y axis.

for example, consider x=1/2

$-5x^{2}=-5( \frac{1}{2} )^{2}=-5* \frac{1}{4}= \frac{-5}{4}=-1.25$

$-x^{2}=- ( \frac{1}{2} )^{2}=- \frac{1}{4}=-0.25$

now this means that $-5x^{2}$ is "lower" than $-x^{2}$ , which means there is a shrinking of the graph.

3. add 5:

$-5 x^{2} +5$ is $-5 x^{2}$ shifted 5 units up.

4.

so the graph of the function a) opens down, b) is shifted 5 units up, c) is not wider than the parent function

Answer: False

6 0

4 years ago

Austin planted sunflowers in the community garden. During his last visit to the garden, the plants were 80 inches tall. Today, A

lorasvet [3.4K]

Answer:

they are going to be 88 inches tall

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4 years ago

Simplify (3 + 6i) – (8 - 5i) Select one: a, -5 + i b. 6 C. 16 d. -5 + 11i

Korolek [52]

Answer:

−5+11i