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3 years ago

Problem ID: PRABJVTY

Mathematics

1 answer:

aksik [14]3 years ago

3 0

Answer:

I'm confused too I'm sorry

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HELPP PLEASE GIVE EVIDENCE

san4es73 [151]

Step-by-step explanation:

The value of k in the equation g(x) = f(x) + k comes out to be 8.

How the vertical shifting of a graph takes place?

If the graph of a function f(x) is shifted vertically by k units, f(x) becomes f(x)+k.

From the diagram, we can say that graph of f(x) has been shifted vertically by 8 units

If we shift f(x) vertically by 8 units f(x) becomes f(x)+8 and also coincides with the graph of g(x).

So, g(x) = f(x) + 8........(1)

Comparing (1) and g(x) = f(x) + k, we get k=8.

Hence, the value of k in the equation g(x) = f(x) + k comes out to be 8.

4 0

2 years ago

Which imput value produces the same output value for the two functions on the graph?

Anna35 [415]

The answer is x= -2 hope this helps!

7 0

3 years ago

Read 2 more answers

What is the rule for finding the vertex of a formula in Standard form? Use that rule to

worty [1.4K]

The vertex is the minimum or the maximum point of the parabola.

<em>x and f(x) represent the horizontal and the vertical coordinates of the vertex.</em>

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The standard form of a parabola is

$f(x) = ax^2 +bx + c$

The x coordinate of the parabola is calculated using:

$x =-\frac{b}{2a}$

The value of the x-coordinate is then plugged in, into the equation to calculate the y-coordinate, as follows:

$f(\frac{b}{2a}) = a(-\frac{b}{2a})^2 + b(-\frac{b}{2a}) + c$

At the end of the calculation,

x and f(x) represent the horizontal and the vertical coordinates of the vertex.

Take for instance:

$f(x) = 2x^2 + 4x - 9$

The x-coordinate of the vertex is:

$x = -\frac b{2a}$

$x = -\frac 4{2 \times 2}$

$x = -\frac 44$

$x=-1$

The y-coordinate is:

$f(x) = 2x^2 + 4x - 9$

$f(-1) =2 \times (-1)^2 + 4 \times -1 - 9$

$f(-1) =-11$

So, the vertex of $f(x) = 2x^2 + 4x - 9$ is (-1,11)

See attachment for illustration of vertex of $f(x) = 2x^2 + 4x - 9$

Read more about vertex of parabola at:

brainly.com/question/20209326

5 0

2 years ago

Help me with this plssss

vichka [17]

The answer is the fourth one

6 0

3 years ago

The flagpole in Terry's schoolyard is 42 ft tall. On a sunny day, the flagpole casts a shadow 20 ft long. What is the angle of e

Len [333]

Answer:

64.5°

Step-by-step explanation:

angle of elevation is the angle from the point where the shadow ends. this create a right angle triangle. using tan, you can find the angle.

tan theta = opposite/adjacent

angle = tan^-1(42/20)

angle = 64.5°

4 0

3 years ago