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
I have no idea how to do this please help!!!!
For 6, it would be:
A. a straight line
Steve is NO help at ALL!
surely you know that y=x^2 is a parabola
5. this is an hyperbola, so a curve
6. you surely know that y=mx+b is a line
The fact that you are being asked these questions seems to indicate that you have studied some kind of graphs. It couldn't have taken much work to find examples of similar functions.
4. The graph of y = x^2 + 1 would look like a parabola. It's like a U-shaped curve, but with a little extra funkiness due to the "+ 1" part.
5. The graph of 10/x would look like a curve. It starts off high at the left side of the graph, then curves downward and approaches zero as x gets larger.
6. The graph of y = 3/4x - 7/8 would look like a straight line. It's not the most exciting graph, but at least it's predictable! There are no curves or fancy shapes here.
To determine the shape of a graph for a given equation, we can follow a few steps:
1. Start by analyzing the equation. Look for any specific patterns or terms that might give a hint about the possible shape of the graph.
2. If the equation is in the form y = f(x), it typically represents a 2-dimensional graph where the y-coordinate depends on the x-coordinate.
3. Use your knowledge of basic functions and their graphs as a reference. Recognizing common functions can help you determine the shape of a graph more easily.
Now, let's apply these steps to the given equations:
4. y = x^2 + 1
In this equation, we have a squared term (x^2), which indicates it is a quadratic function. Quadratic functions typically form a parabolic graph. Therefore, the correct answer is "a parabola."
5. y = 10/x
This equation has a reciprocal term (1/x) as the coefficient of y. Functions with reciprocal terms typically produce a hyperbolic graph. Therefore, the correct answer is "none of the above."
6. y = 3/4x - 7/8
This equation is in the form of a linear function (y = mx + b), where m is the slope and b is the y-intercept. Linear functions represent straight lines, so the correct answer is "a straight line."
Remember, understanding the patterns and terms in an equation can provide valuable insights into the shape of the graph. If you're uncertain, it's always helpful to graph the equation using graphing tools or software to visualize the graph accurately.