Math Problem Statement
write the standard form. identify a,b,and c y=-(x+5)^2+9
Solution
To write the equation in standard form, we first expand the equation.
Step 1: Expand
Step 2: Substitute into the equation
Step 3: Distribute the negative sign
Step 4: Combine like terms
Thus, the standard form of the equation is:
Identifying the coefficients , , and :
Would you like more details on this process or have any questions?
Here are 5 related questions:
- How do you graph a quadratic equation in standard form?
- What does the value of tell us about the graph's direction?
- How do you find the vertex of a quadratic equation?
- What is the difference between standard and vertex form of a quadratic equation?
- How do you find the axis of symmetry for this equation?
Tip: The value of in a quadratic equation determines whether the parabola opens upward () or downward ().
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Math Problem Analysis
Mathematical Concepts
Algebra
Quadratic Equations
Standard Form
Formulas
Standard form of a quadratic equation: y = ax^2 + bx + c
Theorems
Quadratic equation standard form theorem
Suitable Grade Level
Grades 9-10
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