2 years ago

What is the vertex and axis of symmetry of y=3x^2+12x+9?

Mathematics

1 answer:

Debora [2.8K]2 years ago

5 0

(-2, -3) on the graph if that is what you're asking for.

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Fynjy0 [20]

Answer:

Slope = -3

y-intercept = (0,-4)

Equation: y = -3x-4

Step-by-step explanation:

We can take any two input-output pairs from the table to find the equation of given function.

Linear function is given by:

$y =mx+b$

Here m is the gradient of the functions which is defined as:

$m = \frac{rise}{run} = \frac{y_2-y_1}{x_2-x_1}$

The input-output pairs are:

(x1,y1) = (-1,-1)

(x2,y2) = (0,-4)

First of all,

$m = \frac{-4-(-1)}{0-(-1)}\\= \frac{-4+1}{1} = -3$

Putting the value of slope in the equation

$y = -3x+b$

Putting (-1,-1) in the equation

$-1 = -3(-1)+b\\-1 = 3+b\\b = -1-3\\b = -4$

The equation will be:

$y = -3x-4$

Hence,

Slope = -3

y-intercept = (0,-4)

Equation: y = -3x-4

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3 years ago

Use the parabola tool to graph the quadratic function. f(x)=2x2+12x+16

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We have that
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using a graph tool
see the attached figure</span>

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Answer:

Step-by-step explanation:

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