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natali 33 [55]
3 years ago
13

What is the vertex and the equation of the axis of symmetry of the graph of y=x2-6x-7?

Mathematics
2 answers:
seraphim [82]3 years ago
5 0

Answer:

The vertex is<u> (3,-16)</u>  and axis of symmetry is <u>3</u>

Step-by-step explanation:

The vertex of a quadratic equation f(x)=ax^{2}+bx+c is calculated as (\frac{-b}{2a},f(\frac{-b}{2a}))

and the axis of symmetry is  \frac{-b}{2a}

Compare equation y=x^{2}-6x-7 with f(x)=ax^{2}+bx+c

Where a= 1 and b = -6

so, x=\frac{-b}{2a}=\frac{-(-6)}{2}

      x=3

Now, put the value of x=3 in y=x^{2}-6x-7

y=(3)^{2}-6(3)-7

y=9-18-7

y=-16

Therefore, the vertex is<u> (3,-16)</u>  and axis of symmetry is <u>3</u>

Ray Of Light [21]3 years ago
3 0
X= -b over 2a = --6 over 2×1=3
y=3²-6(3)-7=-16
vertex is (3,-16)
axis of symmetry is 3
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Need some math help. I tried but I’ve already done over fifty questions. Thanks!
DENIUS [597]

Answer:

6a

Step-by-step explanation:

  AB = √[(3a - -3a)² + (0)²]

⇒ AB = √[(3a + 3a)² + (0)²]

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7 0
2 years ago
How does the graph of g(x)=1/x-5. +2 compare to the graph of the parent function f(x)=1/x
malfutka [58]

Answer:

x value of vertical asymptote and y value of horizontal asymptote

Step-by-step explanation:

The graph of 1/x approaches infinity as x approaches 0 (the vertical asymptote)

As x gets either bigger or smaller, 1/x approaches the x-axis (from above on the positive side, from below on the negative side) (the horizontal asymptote)

Consider 1/(x-5) + 2, at what value of x does the graph 'go nuts' ?

When the bottom of the fraction becomes 0, x - 5 becomes 0 when x = 5, so the vertical asymptote of g(x) is at x=5

What value of y does f(x) approach as x gets more positive or more negative - as x gets bigger (as an example), y approaches 0

What y value does g(x) approach as x gets bigger?  Well, as x gets big, 1/(x-5) gets small, approaching 0.  The smallest 0 + 2 can get is 2, so y=2 is the horizontal asymptote

8 0
3 years ago
What is 224 blocks with 8 blocks in each row how many rows would I make
NikAS [45]
You will need 28 rows because if you divide 224 by 8 you would get 28 (:
3 0
3 years ago
the doctor recommended that Matt increase the number of calories you consume from 2000 to 2800 by what percent did the number of
nikdorinn [45]

Answer:

40% number of calories have increased

Step-by-step explanation:

Old Value ( Calories consume before)  = 2000

New Value (increase in Calories consumed) = 2800

We need to find by what percent did the number of calories increase ​

To find percent increase, the formula used is:

Percent\: increase=\frac{New\:Value-Old\:Value}{Old\:Value}\times 100%

Putting values in formula and finding percent increase

Percent\: increase=\frac{New\:Value-Old\:Value}{Old\:Value}\times 100\%\:\\Percent\: increase=\frac{2800-2000}{2000}\times 100\%\: \\Percent\: increase=\frac{800}{2000}\times 100\%\: \\Percent\: increase=0.4\times 100\%\: \\Percent\: increase=40\%

So, 40% number of calories have increased

8 0
2 years ago
A set of equations is given below:
ipn [44]
The correct answer is 'Equation F can be written as 2d + 1 = 3d + 7'. In order to find the answer to a system of equations, the two equations must be set equal to each other. For instance, if we had the equations x = y + 1 and x = 3y - 1, we would set the two equations equal to one another to find the answer.

x = y + 1
x = 3y - 1
y + 1 = 3y - 1
1 = 2y - 1
2 = 2y
1 = y

x = y + 1
x = 1 + 1
<span>x = 2

We can use this to solve the set of equations above.

</span><span>2d + 1 = 3d + 7
</span>1 = d + 7
-6 = d

c = 2d + 1
c = 2(-6) + 1
c = -12 + 1
c = -11

Hope this helps!
6 0
3 years ago
Read 2 more answers
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