Asked by sh

What is the ordered pair of the endpoint in the standard form of a square root function y=5x−4−−−−−√−1 ?(1 point)
Responses

(−4,−1)
left parenthesis negative h comma k right parenthesis

(4,1)
left parenthesis h comma negative k right parenthesis

(−4,1)
left parenthesis negative h comma negative k right parenthesis

(4,−1)
left parenthesis h comma k right parenthesis

The x-axis ranges from negative 4 to 4 in unit increments. The y-axis ranges from 0 to 2 in unit increments. The curve passes through the data points left parenthesis negative 4 comma 0 right parenthesis, left parenthesis 0 comma 1 right parenthesis, and left parenthesis 4 comma 1 point 4 right parenthesis. All values are approximate.


Rhianna graphed a square root function. What is the equation of the function she graphed?

(1 point)
Responses

y=12x−4−−−−−√
y equals Start Fraction 1 over 2 End Fraction Start Root x minus 4 End Root

y=2x−4−−−−−√
y equals 2 Start Root x minus 4 End Root

y=12x+4−−−−−√
y equals Start Fraction 1 over 2 End Fraction Start Root x plus 4 End Root

y=2x+4−−−−−√
y equals 2 Start Root x plus 4 End Root

Given the square root function, y=12x+3−−−−√−9 , what is the y-value when x=13 ?(1 point)
Responses

−7
negative 7

−5
negative 5

−1
negative 1

2
2

Which of the following correctly identifies the quadratic function that is related to the square root function k(x)=5x−−√ ?(1 point)
Responses

m(x)=15x2
m left parenthesis x right parenthesis equals Start Fraction 1 over 5 End Fraction x squared

m(x)=25x2
m left parenthesis x right parenthesis equals 25 x squared

m(x)=125x2
m left parenthesis x right parenthesis equals Start Fraction 1 over 25 End Fraction x squared

m(x)=5x2
m left parenthesis x right parenthesis equals 5 x squared

The values on both axes range from negative 5 to 5 in increments of 1. The curve begins at left parenthesis negative 2 comma 0 right parenthesis and slopes upward from left to right, passing through left parenthesis negative 1 comma 2 right parenthesis, left parenthesis 2 comma 4 right parenthesis, and left parenthesis 4.2 comma 5 right parenthesis. All values are approximate.


What is the vertex of the quadratic function that is related to the square root function in the graph?

(1 point)
Responses

(2,0)
left parenthesis 2 comma 0 right parenthesis

(−2,0)
left parenthesis negative 2 comma 0 right parenthesis

(0,2)
left parenthesis 0 comma 2 right parenthesis

(0,−2)
left parenthesis 0 comma negative 2 right parenthesis

All Answers 1

Answered by GPT-5 mini AI
Here are the answers:

1) Endpoint ordered pair: (4, −1)

2) Equation Rhianna graphed: y = (1/2)√(x + 4)

3) y when x = 13: −7

4) Related quadratic for k(x) = √(5x): m(x) = (1/5)x^2

5) Vertex of the related quadratic: (0, −2)