The x intercept occurs when y = 0.

0=(x+2)^2 - 1
1=(x+2)^2

Take the square root of both sides. Note that the sqrt of 1 is 1. Then solve for x.

1=x+2
-1=x

The x intercept is -1.

The y intercept occurs when x=0.

y=(0+2)^2 - 1
y=2^2 -1
y=4-1
y=3

The y intercept is 3.

Now, to find the vertex...

This parabola is currently in a format called the vertex form, which is:

f(x) = (x-h)^2 + k

where (h, k) is the vertex.

Therefore, the vertex is (-2, -1).

6 0

3 years ago

Caleb bought groceries and paid \$1.60$1.60dollar sign, 1, point, 60 in sales tax. The sales tax rate is 2.5\%2.5%2, point, 5, p

saveliy_v [14]

Answer:

Price of Caleb's groceries before tax = $64

Step-by-step explanation:

Let the price of groceries before tax be =$ $x$

Sales tax charged = $1.60

Sales tax rate =2.5%

Sales tax charged in terms of $x$ will be = 2.5% of the Original price of grocery = $2.5\% of x = 0.025\times x=0.025x$

So, we have,

$0.025x=1.60$

Dividing both sides by $0.025$

$\frac{0.025x}{0.025}=\frac{1.60}{0.025}$

∴ $x=64$

∴ Price of Caleb's groceries before tax = $64

5 0

4 years ago

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 445445 gram setting. Is

marusya05 [52]

Answer:

Yes there is sufficient evidence.

Null hypothesis; H_o ; μ = 445

Alternative hypothesis; H_o ; μ ≠ 445

Step-by-step explanation:

The null hypothesis states that there is no difference in the test which is denoted by H_o. However, the sign of null hypothesis is denoted by the signs of = or ≥ or ≤.

Meanwhile, the alternative hypothesis is one that defers from the null hypothesis. This therefore implies a significant difference in the test. Thus, the signs of alternative hypothesis is denoted by; < or > or ≠.

Now, the question we have is a two tailed test. Thus;

The null hypothesis is;

bag filling machine works correctly at the 445 gram setting which is;

H_o ; μ = 445

The alternative hypothesis is;

bag filling machine works incorrectly at the 445 gram setting which is;

H_o ; μ ≠ 445

8 0

4 years ago