Questions: Which equation best matches the graph shown below?

Which equation best matches the graph shown below?
Transcript text: Which equation best matches the graph shown below?
failed

Solution

failed
failed

Solution Steps

Step 1: Identify the Vertex of the Parabola

The vertex of the parabola is at the point \((-5, -3)\).

Step 2: Determine the Form of the Equation

The standard form of a parabola's equation is \(y = a(x - h)^2 + k\), where \((h, k)\) is the vertex. Here, \(h = -5\) and \(k = -3\).

Step 3: Match the Equation to the Given Options

Substitute \(h = -5\) and \(k = -3\) into the standard form to get \(y = (x + 5)^2 - 3\). This matches the first option.

Final Answer

The equation that best matches the graph is \(y = (x + 5)^2 - 3\).

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
How is facilitated diffusion in axons similar to active transport?
failedAnswered
You are only allowed to use integer exponents. - Use sqrt(...) to deal with fractional exponents. - Make sure your final answer is written as a single logarithm. a. 7 log (x)+5 log (z)-1/2 log (y)=log ((x^7 z^5)/sqrt(y)) b. 1/2 log (x)-5 log (y)-7 log (z)=log (sqrt(x)/(y^5 z^7)) c. 5/2 log (x)-7/2 log (y)-5/2 log (z)=log (sqrt(x^5)/(y sqrt(7/2) sqrt(z^5))) Hint - Do you have a sum of logarithms? Use the fact that log (a)+log (b)=log (a b). - Do you have a difference of logarithms? Use the fact that log (a)-log (b)=log (a/b). - Remember that a^(m/n)=sqrt[n](a^m).
failedAnswered
Solve the following equation on the interval (0 leq theta<2 pi). (-cos ^2 theta+sin ^2 theta=1+cos theta)
failedAnswered
A serving of four home-baked chocolate chip cookies weighs 35 grams and contains 10 grams of fat. What is the ratio, in lowest terms, of fat grams to total grams?
failedAnswered
What stance do the Texas Republican and Texas Democratic Parties both share? - that Social Security should expand to benefit all working Texans - that there should be cuts to government spending - that changes should be made to the state budget process How do Texas Republicans and Texas Democrats differ on the issue of minimum wage?