4.

What would the graph of y = x^2 + 1 look like? (1 point)

a straight line
a parabola
a dotted line
none of the above

5.
What would the graph of 10/x look like? (1 point)

a straight line
a parabola
a curve
none of the above

6.
What would the graph of y = 3/4x – 7/8 look like? (1 point)

a straight line
a parabola
a curve
none of the above

someone please help me answer these

To determine the shape of the graph for each equation, you can look at the equation structure and identify the type of function it represents.

4. The equation y = x^2 + 1 represents a quadratic function. Quadratic functions have a degree of 2, which means the highest power of x in the equation is 2. The graph of a quadratic function is a parabola. Therefore, the correct answer is a parabola.

5. The equation 10/x represents a rational function. Rational functions have variables in both the numerator and denominator, and they can produce various types of graphs. In this case, the graph of 10/x will have a curve shape. As x approaches 0, the function approaches infinity or negative infinity, depending on the sign of x. Therefore, the correct answer is a curve.

6. The equation y = 3/4x - 7/8 represents a linear function. Linear functions have a degree of 1, which means the highest power of x in the equation is 1. The graph of a linear function is a straight line. Therefore, the correct answer is a straight line.