Answer:
its a
Step-by-step explanation:
The factored form of the expression is (2x-1)(2x+5) and the x-intercept of the function is 1/4 and -5/2 respectively
<h3>Solving quadratic equation</h3>
Quadratic equations are equations that has a leading degree of 2. Given the quadratic equation below;
y = 4x^2 + 8x -5
The x-intercept is the point where the value of y is zero.
Factorize the resulting expression
y = 4x^2 + 8x -5
y = 4x^2 - 2x + 10x -5
y = 2x(2x-1)+5(2x -1)
y = (2x-1)(2x+5)
The factored form of the expression is (2x-1)(2x+5)
Equate the given factors to zero
(2x-1)(2x+5) = 0
Equate the factors to zero
2x - 1 = 0
2x = 1
x = 1/4
Similarly
2x + 5 = 0
2x = -5
x = -5/2
Hence the x-intercept of the function is 1/4 and -5/2 respectively
C) For the end behavior, as the value of x tends to infinity, hence the y-values tends to infinity
D) In order to plot the graph, the x-intercepts of the will be plotted on the graph and then curve will be created.
Learn more on quadratic equation here: brainly.com/question/1214333
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Step-by-step explanation:
<u>Step 1: Use two points</u>
<u />
→ ![(-3, 5)](https://tex.z-dn.net/?f=%28-3%2C%205%29)
→ ![(-2, 2)](https://tex.z-dn.net/?f=%28-2%2C%202%29)
<u>Step 2: Find the slope</u>
<u />![m = \frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
![m = \frac{2 - 5}{-2 - (-3)}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B2%20-%205%7D%7B-2%20-%20%28-3%29%7D)
![m = \frac{-3}{-2+3}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B-3%7D%7B-2%2B3%7D)
![m = \frac{-3}{1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B-3%7D%7B1%7D)
![m=-3](https://tex.z-dn.net/?f=m%3D-3)
Answer: Option A
Answer:
19/40
Step-by-step explanation: