How do you write the equation for intercept (4,-3), m=-1
1 answer:
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Answer:
Final answer in simplified form is
Step-by-step explanation:
Given expression is
Now we need to find an equivalent expression for
First we can distribute the positive sign and remove the parenthesis the combine like terms
Hence final answer in simplified form is
Answer:
1) C
2) C
Step-by-step explanation:
Question 1)
We want a parabola that has the vertex (-8, -7) and also passes through the point (-7, -4).
So, we can use the vertex form. Remember that the vertex form is:
Where a is our leading co-efficient and (h, k) is our vertex.
We know that our vertex is (-8, -7). So, substitute this into the equation:
Simplify:
Now, we need to determine the value of our a. To do so, we can use the point the problem had given us. We know that the graph passes through (-7, -4).
So, when x is -7, y is -4. Substitute -7 for x and -4 for y:
Solve for a. Add within the parentheses:
Square:
Add 7 to both sides. Therefore, the value of a is:
So, our entire equation in vertex form is:
Our answer is C.
Question 2)
We are given a graph and are asked to find the equation of the graph.
Again, let's use the vertex form. From the graph, we can see that the vertex is at (-2, 2). Let's substitute this into our vertex equation:
Simplify:
Again, we need to find the value of a.
Notice that the graph crosses the point (-1, 5).
So, let's substitute -1 for x and 5 for y. This yields:
Solve for a. Add within the parentheses.
Square:
Subtract 2 from both sides. So, the value of a is:
Therefore, our entire equation is:
Our answer is C.
And we're done!