The standard form of the equation of a parabola is y = 5x2 + 20x + 14.

2 answers:

8 0

The vertex form of quadratic equation is expressed as:

y = a (x - h)² + k

We manipulate the given equation to be the same as the vertex form. First we transpose the constants to the left-hand side.

y - 14 = 5x² + 20x

Then, we factor out in right hand side the coefficient of the x² term.

y- 14 = 5 (x² + 4x)

We divide the coefficient of the x term with 2 and take its square. We add this value to both sides of the equation but we should remember that in the left-hand side we should multiply this value with five to keep it balanced.

y - 14 + 20 = 5 (x² + 4x +4)

We simplify the right-hand side as:

y + 6 = 5 (x + 2)²

We can now manipulate further the equation above in the vertex form. Thus,

y= 5 [ x- (-2)]² - 6

Ber [7]2 years ago

7 0

Answer:

y = 5(x+2)^2 - 6

Step-by-step explanation:

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Read 2 more answers

Question

IRINA_888 [86]

Answer:

$m=\frac{5}{3}$

Step-by-step explanation:

Given the following question:

Point A = (-2, -9) = (x1, y1)
Point B = (1, -4) = (x2, y2)

To find the slope of a line, we will need to use the formula for slope or rise over run.

$m=\frac{y2-y1}{x2-x1}$
$m=\frac{-4--9}{1--2} =\frac{5}{3}$
$m=\frac{5}{3}$

The slope of the given line is indeed "5/3."

Hope this helps.