Use the image to answer the question.
A coordinate plane's x-axis ranges from 0 to 8 and its y-axis ranges from negative 4 to 2, both by 1-unit increments. A concave up parabola is drawn passing through the 1st and 4th quadrants.
What is the equation for the function in the graph?
Responses
y=(x−5)2−3
y is equal to open paren x minus 5 close paren squared minus 3 - incorrect
y=3(x−5)2−3
y is equal to 3 times open paren x minus 5 close paren squared minus 3 - no response given
y=−(x−3)2−5
y is equal to negative open paren x minus 3 close paren squared minus 5 - no response given
y=2(x−5)2−3
y is equal to 2 times open paren x minus 5 close paren squared minus 3 - not selected, this is the correct answer
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3 answers
The correct answer is y=2(x−5)2−3
why is this the correct answer
The given parabola is concave up, which means the coefficient in front of the squared term (x^2) should be positive. In this case, the coefficient is 2, making the correct equation y=2(x−5)2−3. This equation fits the shape of the parabola shown in the graph.