consider the quadratic function y = (x – 2)2 + 5. Which statements are true about the function and its graph? Select two options. The vertex of the function is (–2, 5). There are no real roots for the function. The graph of the function opens down. The graph contains the point (2, 5). The graph intersects the x-axis at one unique point.

1. 22

2. 1

3. 7

4. 18

step-by-step explanation

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the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places

c.)

step-by-step explanation: