Write the equation for a parabola that has x− intercepts (−1.6,0) and (−3.2,0) and y−intercept (0,25.6).

2 answers:

6 0

X-intercepts are zeroes of the parabola.
(x-x1)(x-x2)=(x+1.6)(x+3.2)=x² +1.6x+3.2x+5.12=x²+4.8x+5.12

y=x²+4.8x+5.12, but the y-int. is (0, 25.6),

So, our parabola should look like
y=5(x²+4.8x+5.12)
y=5x²+24x+25.6

Bess [88]3 years ago

5 0

Answer: y = 5(x + 1.6)(x + 3.2)

∞∞∞∞∞∞∞∞
Explanation:
∞∞∞∞∞∞∞∞

x-intercept = (-1.6, 0) and (-3.2, 0)

=====> y = a(x + 1.6)(x + 3.2)

Given y-intercept = (0, 25.6)

=====> 25.6 = a( 0 + 1.6)(0 + 3.2)
=====> 25.6 = 5.12a
=====> a = 5

Plug in a = 5 into the equation

=====> y = 5(x + 1.6)(x + 3.2)

You might be interested in

Pls help me out ty..

OleMash [197]

Answer:

3.14159265359

Step-by-step explanation:

Hope this helps :)

5 0

3 years ago

Read 2 more answers

Financial algebra: Karen wants to make a deposit of $500 each week into an account that earns %5 interest compounded weekly(52 w

vagabundo [1.1K]

Te get this answer u must do 9282938+(-847372837)=(-63827884) is ur answer I took the test

3 0

3 years ago

How would i figure this out

arsen [322]

9514 1404 393

Answer:

see attached

Step-by-step explanation:

To plot the line through the point, plot the point. Then find another point that has the given "rise" and "run". Draw the line through the two points.

The given point is (-7, -4). Locate that on the graph.

The slope is given as -2/3. This is the ratio of "rise" to "run", so it means the "rise" will be -2 for each "run" of 3. (rise/run = -2/3)

The rise is the vertical change. So, you want your second point to be 2 units below the given point. Its y-coordinate will be -4-2 = -6.

The run is the horizontal change. Your second point will be 3 units to the right of the given point, so its x-coordinate will be -7+3 = -4. Now, you can plot the point (-4, -6) and draw your graph through these two points.