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3 years ago

What do the a in the equation y= ax2 + bx + c tell you about the parabola? (75 points)

Mathematics

2 answers:

ELEN [110]3 years ago

7 0

The EASIEST way to do it, is actually start with the form a(x-b)(x-c) or intercept form since you have intercepts

x ints at (0,0) and (4,0) so y=ax(x-4)

sub in (2,-4) it doesn't really matter whether or not its a vertex

-4=2a(2-4)

a=1

so y=x(x-4)

expand to get y=x^2-4x which is y=ax^2+bx+c form where a=1, b=-4, c=0

scoundrel [369]3 years ago

6 0

Answer:

Step-by-step explanation:

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Answer:

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saul85 [17]

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Step-by-step explanation:

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3 years ago

Write the equation of the line with x-intercept -2 and y-intercept -1 in slope-intercept form

eduard

The x-intercept of -2 gives us an idea that point (-2,0) if found along the line. The y-intercept of -1, tells us that point (0,-1), this also tells us that b = -1.

Now that we have two points, we can solve for slope m

$\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \text{Given two points} \\ (-2,0)\rightarrow(x_1,y_1) \\ (0,-1)\rightarrow(x_2,y_2) \\ \\ \text{Substitute} \\ m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{-1-0}{0-(-2)} \\ m=-\frac{1}{2} \end{gathered}$

Now that we have both m and b. Substitute these values to the slope intercept form

$\begin{gathered} \text{Slope intercept form is} \\ y=mx+b \\ \text{where} \\ m\text{ is the slope} \\ b\text{ is the y-intercept} \\ \\ \text{Substitute the values from before and we get} \\ y=-\frac{1}{2}x-1 \end{gathered}$

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1 year ago

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Aleonysh [2.5K]

Answer:

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Step-by-step explanation:

16-9=7

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3 years ago

Read 2 more answers

Please help me with this pleaseee