The graph of f(x)=x^2 was transformed to create the graph of g(x) = f(x) -9. Which statement about the graphs is true? A. The graph of g is a reflection of the graph of f across the x-axis.

B. The vertex of the graph of g is 9 units to the right of the vertex of the graph of f.

C. The graph of g is a reflection of the graph of facross the y-axis.

D. The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f.​

Three children each had the same amount of money in their savings account. one of the children withdrew three quarters of her moneyand spent it all on a $100 sports jersey. what was the total amount of money originally in the accounts?

Which is the equation of an ellipse with directrices at x = ±4 and foci at (2, 0) and (−2, 0)?

According to a research study, parents with young children slept 6.4 hours each night last year, on average. a random sample of 18 parents with young children was surveyed and the mean amount of time per night each parent slept was 6.8. this data has a sample standard deviation of 0.9. (assume that the scores are normally distributed.) researchers conduct a one-mean hypothesis at the 5% significance level, to test if the mean amount of time parents with young children sleep per night is greater than the mean amount of time last year. the null and alternative hypotheses are h0: μ=6.4 and ha: μ> 6.4, which is a right-tailed test. the test statistic is determined to be t0=1.89 using the partial t-table below, determine the critical value(s). if there is only one critical value, leave the second answer box blank.