Plz help will give what I got (45 points) 4. Find the standard form equation of the quadratic function that has a vertex at (2, 5) and goes through the point (3, 8). Show your work. (6 points total)
Step 1: Substitute the vertex into y = a(x – h)2 + k. (1 point)

Step 2: Substitute (3, 8) into the equation and solve for a. (2 points)

Step 3: Substitute the value of a back into the vertex form. (1 point)

Step 4: Expand the binomial and use the distributive property to rewrite the vertex form in standard form. (2 points)

The measurement of one angle of a right triangle is 34°. what is the measurement of the third angle?

Browning labs is testing a new growth inhibitor for a certain type of bacteria. the bacteria naturally grows exponentially each hour at a rate of 6.2%. the researchers know that the inhibitor will make the growth rate of the bacteria less than or equal to its natural growth rate. the sample currently contains 100 bacteria. the container holding the sample can hold only 300 bacteria, after which the sample will no longer grow. however, the researchers are increasing the size of the container at a constant rate allowing the container to hold 100 more bacteria each hour. they would like to determine the possible number of bacteria in the container over time. create a system of inequalities to model the situation above, and use it to determine how many of the solutions are viable.

Which of the following values are in the range of the function graphed below? check all that apply ! - will give the answer "brainliest! "