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julsineya [31]
3 years ago
11

Write an equation for the quadratic function that has

Mathematics
1 answer:
Degger [83]3 years ago
7 0

The quadratic function has an x-intercept of (-7,0)

and passes through (-4,-18)

The gradient(m) of its graph is (-18 - 0) ÷ (-4 - -7) = -18/3 = -6

Taking a point (x,y) the equation is;

(y - 0) ÷ (x - -7) = -6

y = -6x - 42

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35 POINTS!!! PLEASE HELP !!!!!!!!!!!!!!
lyudmila [28]

Answer:

The function is increasing from x = 0 to x = 1.

Step-by-step explanation:

A <u>function</u> is increasing when the <u>y-value increases</u> as the <u>x-value increases</u>.

A <u>function</u> is decreasing when the <u>y-value decreases</u> as the <u>x-value increases</u>.

From x = -2 to x = -1 the function is decreasing as the y-value decreases as the x-value increases:  

  • x-value -2 to -1 → increase
  • y-value 2 to 0 → decrease

From x = -1 to x = 0 the function is increasing as the y-value increases as the x-value increase:  

  • x-value -1 to 0 → increase
  • y-value 0 to 2 → increase

From x = 0 to x = 1 the function is increasing as the y-value increases as the x-value increase:  

  • x-value 0 to 1 → increase
  • y-value 2 to 8 → increase
7 0
1 year ago
What is the domain and range of this map?
uranmaximum [27]

The domain and the range is [-6 to +inf)


7 0
2 years ago
Factor (difference of squares) the binomial 25x^2-4 and find one of its factors
Lunna [17]

Step-by-step explanation:

Hey, there!

Here,

Given that:

= 25 {x}^{2}  - 4

we need to find factor,

As it is in a^2-b^2 form as per its factor (a+b) (a-b), keeping same formula here,

25x^2 means (5x)^2

and 4 means 2^2

Now, it would be,

= ( {5x)}^{2}  -  {2}^{2}

= (5x + 2)(5x - 2)

Therefore, it's factor would be (5x+2)(5x-2).

<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

6 0
3 years ago
The graph shows the number of cases of bottles of water and the total number of bottles of water.
faltersainse [42]

Answer:

b = 24c

Step-by-step explanation:

6 0
2 years ago
Which function has a range of {y|y&lt;_5}?
Sveta_85 [38]

Answer:

f(x) = -(x-4)² + 5

Step-by-step explanation:

f(x) = -(x-4)² + 5

Has a maximum vertex at (4,5)

Which means the function has a greatest value of 5 at x = 4

Therefore the range is:

y《5

8 0
3 years ago
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