Answer:
y= 8x + 5
Step-by-step explanation:
y = 8x + b
5 = 8(0)+b
b = 5
Vertex coordinates: (h, k)
Vertex form: y = a(x-h)^2 + k
y = 2(x+3) + 2(x+4)
Use distributive property:
y = 2((x+3)+(x+4))
Simplify:
y = 2(2x+7)
y = 4x+14
This is slope - intercept form, not vertex form. Vertex form is for quadratic equations - this is a linear equation.
Answer (in slope - intercept form):
y = 4x+14
Shown in the graph
<h2>
Explanation:</h2>
Using graph tools we can graph the function:

which is the red graph shown below. As you can see, this is a parabola. The rule for vertical and horizontal shifts is as follows:


Therefore, If we shift the red graph 9 units to the right and 1 down, our new function (let's call it
) will be:

This graph is the blue graph below. Let's verify the transformation taking the vertex of the red graph:

By translating the 9 units to the right and 1 down the vertex is also translated by the same rule, so:

<h2>
Learn more:</h2>
Cubic function: brainly.com/question/13773618#
#LearnWithBrainly
Answer:
Length of diagonal of picture = 15.30 inches
Step-by-step explanation:
Given that:
Side lengths of picture frame = 12 inches by 9.5 inches
As the picture is rectangular, the diagonal will form hypotenuse of right angled triangle.
Using Pythagorean theorem;
a²+b²=c²
Putting the values in the theorem

Taking square root on both sides

Hence,
Length of diagonal of picture = 15.30 inches